Least Common Multiple of 2, 18, 57, 57
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 2, 18, 57, 57 i.e. 342 smallest integer divisible by all numbers.
Least common multiple (LCM) of 2, 18, 57, 57 is 342.
LCM(2, 18, 57, 57) = 342
LCM of 2, 18, 57, 57
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 2, 18, 57, 57 by common division method
- Least Common Multiple of 2, 18, 57, 57 with GCF Formula
Least Common Multiple (LCM) of 2,18,57,57 is 342
| 2 | 2, 18, 57, 57 |
| 3 | 1, 9, 57, 57 |
| 19 | 1, 3, 19, 19 |
| 1, 3, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 3 x 1 x 1 = 342
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 2,18,57,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,18,57,57) = 1
common factors(in case of two or more numbers have common factors) = 342
GCF(2,18,57,57) x common factors =1 x 342 = 342
LCM(2,18,57,57) = ( 2 × 18 × 57 × 57 ) / 342
LCM(2,18,57,57) = 116964 / 342
LCM(2,18,57,57) = 342
∴ Least Common Multiple of 2,18,57,57 is 342
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 2, 18, 57, 57
1. What is the LCM of 2, 18, 57, 57?
Answer: LCM of 2, 18, 57, 57 is 342.
2. What are the Factors of 342?
Answer: Factors of 342 are . There are integers that are factors of 342
3. How to Find the LCM of 2, 18, 57, 57 ?
Least Common Multiple of 2, 18, 57, 57.
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(2, 18, 57, 57) = 2 x 3 x 3 x 19 = 342.