Least Common Multiple of 800, 300, 700, 492

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 800, 300, 700, 492 i.e. 688800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 800, 300, 700, 492 is 688800.

LCM(800, 300, 700, 492) = 688800

LCM of 800, 300, 700, 492

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

LCM of:

Least Common Multiple of 800,300,700,492

Least Common Multiple (LCM) of 800,300,700,492 is 688800

2 800, 300, 700, 492
2 400, 150, 350, 246
3 200, 75, 175, 123
5 200, 25, 175, 41
5 40, 5, 35, 41
8, 1, 7, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 8 x 1 x 7 x 41 = 688800

Least Common Multiple of 800,300,700,492 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 800,300,700,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,300,700,492) = 4

common factors(in case of two or more numbers have common factors) = 30000

GCF(800,300,700,492) x common factors =4 x 30000 = 120000

LCM(800,300,700,492) = ( 800 × 300 × 700 × 492 ) / 120000

LCM(800,300,700,492) = 82656000000 / 120000

LCM(800,300,700,492) = 688800

∴ Least Common Multiple of 800,300,700,492 is 688800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 800, 300, 700, 492

1. What is the LCM of 800, 300, 700, 492?

Answer: LCM of 800, 300, 700, 492 is 688800.

2. What are the Factors of 688800?

Answer: Factors of 688800 are . There are integers that are factors of 688800

3. How to Find the LCM of 800, 300, 700, 492 ?

Least Common Multiple of 800, 300, 700, 492.

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(800, 300, 700, 492) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 41 = 688800.