Least Common Multiple of 67, 21, 96, 142

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 67, 21, 96, 142 i.e. 3196704 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 21, 96, 142 is 3196704.

LCM(67, 21, 96, 142) = 3196704

LCM of 67, 21, 96, 142

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

LCM of:

Least Common Multiple of 67,21,96,142

Least Common Multiple (LCM) of 67,21,96,142 is 3196704

2 67, 21, 96, 142
3 67, 21, 48, 71
67, 7, 16, 71

∴ So the LCM of the given numbers is 2 x 3 x 67 x 7 x 16 x 71 = 3196704

Least Common Multiple of 67,21,96,142 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 67,21,96,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,21,96,142) = 1

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

GCF(67,21,96,142) x common factors =1 x 6 = 6

LCM(67,21,96,142) = ( 67 × 21 × 96 × 142 ) / 6

LCM(67,21,96,142) = 19180224 / 6

LCM(67,21,96,142) = 3196704

∴ Least Common Multiple of 67,21,96,142 is 3196704

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 67, 21, 96, 142

1. What is the LCM of 67, 21, 96, 142?

Answer: LCM of 67, 21, 96, 142 is 3196704.

2. What are the Factors of 3196704?

Answer: Factors of 3196704 are . There are integers that are factors of 3196704

3. How to Find the LCM of 67, 21, 96, 142 ?

Least Common Multiple of 67, 21, 96, 142.

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(67, 21, 96, 142) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 67 x 71 = 3196704.