Least Common Multiple of 42, 76, 32, 442

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 42, 76, 32, 442 i.e. 2821728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 76, 32, 442 is 2821728.

LCM(42, 76, 32, 442) = 2821728

LCM of 42, 76, 32, 442

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

LCM of:

Least Common Multiple of 42,76,32,442

Least Common Multiple (LCM) of 42,76,32,442 is 2821728

2 42, 76, 32, 442
2 21, 38, 16, 221
21, 19, 8, 221

∴ So the LCM of the given numbers is 2 x 2 x 21 x 19 x 8 x 221 = 2821728

Least Common Multiple of 42,76,32,442 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 42,76,32,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,76,32,442) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(42,76,32,442) x common factors =2 x 8 = 16

LCM(42,76,32,442) = ( 42 × 76 × 32 × 442 ) / 16

LCM(42,76,32,442) = 45147648 / 16

LCM(42,76,32,442) = 2821728

∴ Least Common Multiple of 42,76,32,442 is 2821728

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 42, 76, 32, 442

1. What is the LCM of 42, 76, 32, 442?

Answer: LCM of 42, 76, 32, 442 is 2821728.

2. What are the Factors of 2821728?

Answer: Factors of 2821728 are . There are integers that are factors of 2821728

3. How to Find the LCM of 42, 76, 32, 442 ?

Least Common Multiple of 42, 76, 32, 442.

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(42, 76, 32, 442) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 x 19 = 2821728.