Least Common Multiple of 9, 57, 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 9, 57, 342 i.e. 342 smallest integer divisible by all numbers.
Least common multiple (LCM) of 9, 57, 342 is 342.
LCM(9, 57, 342) = 342
LCM of 9, 57, 342
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 9, 57, 342 by common division method
- Least Common Multiple of 9, 57, 342 with GCF Formula
Least Common Multiple (LCM) of 9,57,342 is 342
| 3 | 9, 57, 342 |
| 3 | 3, 19, 114 |
| 19 | 1, 19, 38 |
| 1, 1, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 1 x 1 x 2 = 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 9,57,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,57,342) = 3
common factors(in case of two or more numbers have common factors) = 171
GCF(9,57,342) x common factors =3 x 171 = 513
LCM(9,57,342) = ( 9 × 57 × 342 ) / 513
LCM(9,57,342) = 175446 / 513
LCM(9,57,342) = 342
∴ Least Common Multiple of 9,57,342 is 342
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Frequently Asked Questions on LCM of 9, 57, 342
1. What is the LCM of 9, 57, 342?
Answer: LCM of 9, 57, 342 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 9, 57, 342 ?
Least Common Multiple of 9, 57, 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(9, 57, 342) = 2 x 3 x 3 x 19 = 342.