{
  "software": "apple-numbers",
  "function": "LCM",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://support.apple.com/guide/functions/lcm-ffa5918fe7/15.4/web/1.0",
  "passed": 9,
  "total": 9,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(6,8)",
      "variables": {},
      "expected": 24,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(4,10)",
      "variables": {},
      "expected": 20,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(34,68)",
      "variables": {},
      "expected": 68,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(12,18)",
      "variables": {},
      "expected": 36,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(7,9)",
      "variables": {},
      "expected": 63,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(30.25,40.333)",
      "variables": {},
      "expected": 120,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(3,5)",
      "variables": {},
      "expected": 15,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(30,40,60)",
      "variables": {},
      "expected": 120,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(6,8,12)",
      "variables": {},
      "expected": 24,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 212,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(6,8)",
      "actual_independent_model": 24,
      "expected": 24,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 213,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(4,10)",
      "actual_independent_model": 20,
      "expected": 20,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 214,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(34,68)",
      "actual_independent_model": 68,
      "expected": 68,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 215,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(12,18)",
      "actual_independent_model": 36,
      "expected": 36,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 216,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(7,9)",
      "actual_independent_model": 63,
      "expected": 63,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 217,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(30.25,40.333)",
      "actual_independent_model": 120,
      "expected": 120,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 218,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(3,5)",
      "actual_independent_model": 15,
      "expected": 15,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 219,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(30,40,60)",
      "actual_independent_model": 120,
      "expected": 120,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 220,
      "software": "apple-numbers",
      "function": "LCM",
      "expression": "LCM(6,8,12)",
      "actual_independent_model": 24,
      "expected": 24,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}