Calculate
Fraction 1
/
Fraction 2
/
Examples:
The Least Common Multiple (LCM) is the smallest positive integer divisible by two or more given numbers. Used for adding fractions with different denominators, scheduling problems, and finding repeating patterns.
💡
Tip: For adding fractions: LCD (Least Common Denominator) = LCM of all denominators. 1/4 + 1/6 + 1/3: LCM(4,6,3) = 12 → 3/12 + 2/12 + 4/12 = 9/12 = 3/4.
- 1LCM(a,b) = |a × b| / GCF(a,b)
- 2Prime factorization: take all prime factors with highest powers
- 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
- 4LCM of coprime numbers (GCF=1) = their product
LCM(4, 6)=12Smallest number divisible by both 4 and 6
LCM(12, 18, 24)=72Used to add 1/12 + 1/18 + 1/24
| Problem | LCM Used For | Example |
|---|---|---|
| Adding fractions | Find common denominator | 1/4 + 1/6 → LCD=12 |
| Scheduling | Find when events coincide | Every 4 and 6 days → every 12 days |
| Music | When rhythms align | 3-beat and 4-beat patterns sync at beat 12 |
| Gear ratios | Complete cycle alignment | Gears with 4 and 6 teeth: 12 turns |
⭐
Fun Fact
The Chinese Remainder Theorem (3rd century CE) uses LCM to solve systems of modular equations. It is used today in cryptography, computer science, and was used historically to count soldiers without asking them to line up.
References
🔒
୧୦୦% ମାଗଣା
ପଞ୍ଜୀକରଣ ଆବଶ୍ୟକ ନାହିଁ
✓
ସଠିକ
ଯାଞ୍ଚ ହୋଇଥିବା ସୂତ୍ର
⚡
ତତ୍କ୍ଷଣ
ତତ୍କ୍ଷଣ ଫଳ
📱
ମୋବାଇଲ୍ ଅନୁକୂଳ
ସମସ୍ତ ଡିଭାଇସ୍