Least Common Multiple of 72, 58, 10, 145

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 72, 58, 10, 145 i.e. 10440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 58, 10, 145 is 10440.

LCM(72, 58, 10, 145) = 10440

LCM of 72, 58, 10, 145

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

LCM of:

Least Common Multiple of 72,58,10,145

Least Common Multiple (LCM) of 72,58,10,145 is 10440

2 72, 58, 10, 145
5 36, 29, 5, 145
29 36, 29, 1, 29
36, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 29 x 36 x 1 x 1 x 1 = 10440

Least Common Multiple of 72,58,10,145 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 72,58,10,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,58,10,145) = 1

common factors(in case of two or more numbers have common factors) = 580

GCF(72,58,10,145) x common factors =1 x 580 = 580

LCM(72,58,10,145) = ( 72 × 58 × 10 × 145 ) / 580

LCM(72,58,10,145) = 6055200 / 580

LCM(72,58,10,145) = 10440

∴ Least Common Multiple of 72,58,10,145 is 10440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 58, 10, 145

1. What is the LCM of 72, 58, 10, 145?

Answer: LCM of 72, 58, 10, 145 is 10440.

2. What are the Factors of 10440?

Answer: Factors of 10440 are . There are integers that are factors of 10440

3. How to Find the LCM of 72, 58, 10, 145 ?

Least Common Multiple of 72, 58, 10, 145.

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(72, 58, 10, 145) = 2 x 2 x 2 x 3 x 3 x 5 x 29 = 10440.