Least Common Multiple of 76, 24, 17, 141

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 76, 24, 17, 141 i.e. 364344 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 24, 17, 141 is 364344.

LCM(76, 24, 17, 141) = 364344

LCM of 76, 24, 17, 141

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

LCM of:

Least Common Multiple of 76,24,17,141

Least Common Multiple (LCM) of 76,24,17,141 is 364344

2 76, 24, 17, 141
2 38, 12, 17, 141
3 19, 6, 17, 141
19, 2, 17, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 2 x 17 x 47 = 364344

Least Common Multiple of 76,24,17,141 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 76,24,17,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,24,17,141) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(76,24,17,141) x common factors =1 x 12 = 12

LCM(76,24,17,141) = ( 76 × 24 × 17 × 141 ) / 12

LCM(76,24,17,141) = 4372128 / 12

LCM(76,24,17,141) = 364344

∴ Least Common Multiple of 76,24,17,141 is 364344

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 76, 24, 17, 141

1. What is the LCM of 76, 24, 17, 141?

Answer: LCM of 76, 24, 17, 141 is 364344.

2. What are the Factors of 364344?

Answer: Factors of 364344 are . There are integers that are factors of 364344

3. How to Find the LCM of 76, 24, 17, 141 ?

Least Common Multiple of 76, 24, 17, 141.

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(76, 24, 17, 141) = 2 x 2 x 2 x 3 x 17 x 19 x 47 = 364344.