Least Common Multiple of 675, 678, 996, 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 675, 678, 996, 721 i.e. 18258099300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 675, 678, 996, 721 is 18258099300.

LCM(675, 678, 996, 721) = 18258099300

LCM of 675, 678, 996, 721

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

LCM of:

Least Common Multiple of 675,678,996,721

Least Common Multiple (LCM) of 675,678,996,721 is 18258099300

2 675, 678, 996, 721
3 675, 339, 498, 721
225, 113, 166, 721

∴ So the LCM of the given numbers is 2 x 3 x 225 x 113 x 166 x 721 = 18258099300

Least Common Multiple of 675,678,996,721 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 675,678,996,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,678,996,721) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(675,678,996,721) x common factors =1 x 18 = 18

LCM(675,678,996,721) = ( 675 × 678 × 996 × 721 ) / 18

LCM(675,678,996,721) = 328645787400 / 18

LCM(675,678,996,721) = 18258099300

∴ Least Common Multiple of 675,678,996,721 is 18258099300

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 675, 678, 996, 721

1. What is the LCM of 675, 678, 996, 721?

Answer: LCM of 675, 678, 996, 721 is 18258099300.

2. What are the Factors of 18258099300?

Answer: Factors of 18258099300 are . There are integers that are factors of 18258099300

3. How to Find the LCM of 675, 678, 996, 721 ?

Least Common Multiple of 675, 678, 996, 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(675, 678, 996, 721) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 83 x 103 x 113 = 18258099300.