Least Common Multiple of 29, 72, 46, 920

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 29, 72, 46, 920 i.e. 240120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 29, 72, 46, 920 is 240120.

LCM(29, 72, 46, 920) = 240120

LCM of 29, 72, 46, 920

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

LCM of:

Least Common Multiple of 29,72,46,920

Least Common Multiple (LCM) of 29,72,46,920 is 240120

2 29, 72, 46, 920
2 29, 36, 23, 460
2 29, 18, 23, 230
23 29, 9, 23, 115
29, 9, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 29 x 9 x 1 x 5 = 240120

Least Common Multiple of 29,72,46,920 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 29,72,46,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,72,46,920) = 1

common factors(in case of two or more numbers have common factors) = 368

GCF(29,72,46,920) x common factors =1 x 368 = 368

LCM(29,72,46,920) = ( 29 × 72 × 46 × 920 ) / 368

LCM(29,72,46,920) = 88364160 / 368

LCM(29,72,46,920) = 240120

∴ Least Common Multiple of 29,72,46,920 is 240120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 29, 72, 46, 920

1. What is the LCM of 29, 72, 46, 920?

Answer: LCM of 29, 72, 46, 920 is 240120.

2. What are the Factors of 240120?

Answer: Factors of 240120 are . There are integers that are factors of 240120

3. How to Find the LCM of 29, 72, 46, 920 ?

Least Common Multiple of 29, 72, 46, 920.

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(29, 72, 46, 920) = 2 x 2 x 2 x 3 x 3 x 5 x 23 x 29 = 240120.