Least Common Multiple of 57, 81, 342
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 57, 81, 342 i.e. 3078 smallest integer divisible by all numbers.
Least common multiple (LCM) of 57, 81, 342 is 3078.
LCM(57, 81, 342) = 3078
LCM of 57, 81, 342
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 57, 81, 342 by common division method
- Least Common Multiple of 57, 81, 342 with GCF Formula
Least Common Multiple (LCM) of 57,81,342 is 3078
| 3 | 57, 81, 342 |
| 3 | 19, 27, 114 |
| 19 | 19, 9, 38 |
| 1, 9, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 1 x 9 x 2 = 3078
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 57,81,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,81,342) = 3
common factors(in case of two or more numbers have common factors) = 171
GCF(57,81,342) x common factors =3 x 171 = 513
LCM(57,81,342) = ( 57 × 81 × 342 ) / 513
LCM(57,81,342) = 1579014 / 513
LCM(57,81,342) = 3078
∴ Least Common Multiple of 57,81,342 is 3078
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 57, 81, 342
1. What is the LCM of 57, 81, 342?
Answer: LCM of 57, 81, 342 is 3078.
2. What are the Factors of 3078?
Answer: Factors of 3078 are . There are integers that are factors of 3078
3. How to Find the LCM of 57, 81, 342 ?
Least Common Multiple of 57, 81, 342.
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(57, 81, 342) = 2 x 3 x 3 x 3 x 3 x 19 = 3078.