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Least Common Multiple of 57, 42, 90

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 57, 42, 90 i.e. 11970 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 42, 90 is 11970.

LCM(57, 42, 90) = 11970

LCM of 57, 42, 90

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple (LCM) of 57,42,90 By Common Division

2 57, 42, 90
3 57, 21, 45
19, 7, 15

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 15 = 11970

Least Common Multiple of 57,42,90 with GCF Formula

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 57,42,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,42,90) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(57,42,90) x common factors =3 x 6 = 18

LCM(57,42,90) = ( 57 × 42 × 90 ) / 18

LCM(57,42,90) = 215460 / 18

LCM(57,42,90) = 11970

∴ Least Common Multiple of 57,42,90 is 11970

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 57, 42, 90

1. What is the LCM of 57, 42, 90?

Answer: LCM of 57, 42, 90 is 11970.

2. What are the Factors of 11970?

Answer: Factors of 11970 are . There are integers that are factors of 11970

3. How to Find the LCM of 57, 42, 90 ?

Least Common Multiple of 57, 42, 90.

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, 42, 90) = 2 x 3 x 3 x 5 x 7 x 19 = 11970.