Least Common Multiple of 36, 42, 105
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 36, 42, 105 i.e. 1260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 36, 42, 105 is 1260.
LCM(36, 42, 105) = 1260
LCM of 36, 42, 105
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 36, 42, 105 by common division method
- Least Common Multiple of 36, 42, 105 with GCF Formula
Least Common Multiple (LCM) of 36,42,105 is 1260
| 2 | 36, 42, 105 |
| 3 | 18, 21, 105 |
| 7 | 6, 7, 35 |
| 6, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 6 x 1 x 5 = 1260
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 36,42,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,42,105) = 3
common factors(in case of two or more numbers have common factors) = 42
GCF(36,42,105) x common factors =3 x 42 = 126
LCM(36,42,105) = ( 36 × 42 × 105 ) / 126
LCM(36,42,105) = 158760 / 126
LCM(36,42,105) = 1260
∴ Least Common Multiple of 36,42,105 is 1260
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 36, 42, 105
1. What is the LCM of 36, 42, 105?
Answer: LCM of 36, 42, 105 is 1260.
2. What are the Factors of 1260?
Answer: Factors of 1260 are . There are integers that are factors of 1260
3. How to Find the LCM of 36, 42, 105 ?
Least Common Multiple of 36, 42, 105.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(36, 42, 105) = 2 x 2 x 3 x 3 x 5 x 7 = 1260.