Least Common Multiple of 735, 245, 723, 36

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 735, 245, 723, 36 i.e. 2125620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 735, 245, 723, 36 is 2125620.

LCM(735, 245, 723, 36) = 2125620

LCM of 735, 245, 723, 36

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

LCM of:

Least Common Multiple of 735,245,723,36

Least Common Multiple (LCM) of 735,245,723,36 is 2125620

3 735, 245, 723, 36
5 245, 245, 241, 12
7 49, 49, 241, 12
7 7, 7, 241, 12
1, 1, 241, 12

∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 1 x 1 x 241 x 12 = 2125620

Least Common Multiple of 735,245,723,36 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 735,245,723,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,245,723,36) = 1

common factors(in case of two or more numbers have common factors) = 2205

GCF(735,245,723,36) x common factors =1 x 2205 = 2205

LCM(735,245,723,36) = ( 735 × 245 × 723 × 36 ) / 2205

LCM(735,245,723,36) = 4686992100 / 2205

LCM(735,245,723,36) = 2125620

∴ Least Common Multiple of 735,245,723,36 is 2125620

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 735, 245, 723, 36

1. What is the LCM of 735, 245, 723, 36?

Answer: LCM of 735, 245, 723, 36 is 2125620.

2. What are the Factors of 2125620?

Answer: Factors of 2125620 are . There are integers that are factors of 2125620

3. How to Find the LCM of 735, 245, 723, 36 ?

Least Common Multiple of 735, 245, 723, 36.

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(735, 245, 723, 36) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 241 = 2125620.