Least Common Multiple of 45, 74, 618, 721

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 45, 74, 618, 721 i.e. 2400930 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 74, 618, 721 is 2400930.

LCM(45, 74, 618, 721) = 2400930

LCM of 45, 74, 618, 721

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

LCM of:

Least Common Multiple of 45,74,618,721

Least Common Multiple (LCM) of 45,74,618,721 is 2400930

2 45, 74, 618, 721
3 45, 37, 309, 721
103 15, 37, 103, 721
15, 37, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 103 x 15 x 37 x 1 x 7 = 2400930

Least Common Multiple of 45,74,618,721 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 45,74,618,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,74,618,721) = 1

common factors(in case of two or more numbers have common factors) = 618

GCF(45,74,618,721) x common factors =1 x 618 = 618

LCM(45,74,618,721) = ( 45 × 74 × 618 × 721 ) / 618

LCM(45,74,618,721) = 1483774740 / 618

LCM(45,74,618,721) = 2400930

∴ Least Common Multiple of 45,74,618,721 is 2400930

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 74, 618, 721

1. What is the LCM of 45, 74, 618, 721?

Answer: LCM of 45, 74, 618, 721 is 2400930.

2. What are the Factors of 2400930?

Answer: Factors of 2400930 are . There are integers that are factors of 2400930

3. How to Find the LCM of 45, 74, 618, 721 ?

Least Common Multiple of 45, 74, 618, 721.

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(45, 74, 618, 721) = 2 x 3 x 3 x 5 x 7 x 37 x 103 = 2400930.