Least Common Multiple of 900, 300, 700, 686

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 900, 300, 700, 686 i.e. 308700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 900, 300, 700, 686 is 308700.

LCM(900, 300, 700, 686) = 308700

LCM of 900, 300, 700, 686

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

LCM of:

Least Common Multiple of 900,300,700,686

Least Common Multiple (LCM) of 900,300,700,686 is 308700

2 900, 300, 700, 686
2 450, 150, 350, 343
3 225, 75, 175, 343
5 25, 75, 175, 343
5 5, 15, 35, 343
7 1, 3, 7, 343
1, 3, 1, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 7 x 1 x 3 x 1 x 49 = 308700

Least Common Multiple of 900,300,700,686 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 900,300,700,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,300,700,686) = 2

common factors(in case of two or more numbers have common factors) = 210000

GCF(900,300,700,686) x common factors =2 x 210000 = 420000

LCM(900,300,700,686) = ( 900 × 300 × 700 × 686 ) / 420000

LCM(900,300,700,686) = 129654000000 / 420000

LCM(900,300,700,686) = 308700

∴ Least Common Multiple of 900,300,700,686 is 308700

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 900, 300, 700, 686

1. What is the LCM of 900, 300, 700, 686?

Answer: LCM of 900, 300, 700, 686 is 308700.

2. What are the Factors of 308700?

Answer: Factors of 308700 are . There are integers that are factors of 308700

3. How to Find the LCM of 900, 300, 700, 686 ?

Least Common Multiple of 900, 300, 700, 686.

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(900, 300, 700, 686) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 7 = 308700.