Least Common Multiple of 36, 72, 30, 174

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 36, 72, 30, 174 i.e. 10440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 72, 30, 174 is 10440.

LCM(36, 72, 30, 174) = 10440

LCM of 36, 72, 30, 174

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

LCM of:

Least Common Multiple of 36,72,30,174

Least Common Multiple (LCM) of 36,72,30,174 is 10440

2 36, 72, 30, 174
2 18, 36, 15, 87
3 9, 18, 15, 87
3 3, 6, 5, 29
1, 2, 5, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 2 x 5 x 29 = 10440

Least Common Multiple of 36,72,30,174 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 36,72,30,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,72,30,174) = 6

common factors(in case of two or more numbers have common factors) = 216

GCF(36,72,30,174) x common factors =6 x 216 = 1296

LCM(36,72,30,174) = ( 36 × 72 × 30 × 174 ) / 1296

LCM(36,72,30,174) = 13530240 / 1296

LCM(36,72,30,174) = 10440

∴ Least Common Multiple of 36,72,30,174 is 10440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 36, 72, 30, 174

1. What is the LCM of 36, 72, 30, 174?

Answer: LCM of 36, 72, 30, 174 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 36, 72, 30, 174 ?

Least Common Multiple of 36, 72, 30, 174.

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(36, 72, 30, 174) = 2 x 2 x 2 x 3 x 3 x 5 x 29 = 10440.