Least Common Multiple of 6700, 800, 900, 678

Q: How to Find the LCM of 6700, 800, 900, 678 ?

Least Common Multiple of 6700, 800, 900, 678 = 54511200 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(6700, 800, 900, 678) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 67 x 113 = 54511200.

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 6700, 800, 900, 678 i.e. 54511200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6700, 800, 900, 678 is 54511200.

LCM(6700, 800, 900, 678) = 54511200

LCM of 6700, 800, 900, 678

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

Least Common Multiple of 6700, 800, 900, 678 by common division method
Least Common Multiple of 6700, 800, 900, 678 with GCF Formula

Least Common Multiple of 6700,800,900,678

Least Common Multiple (LCM) of 6700,800,900,678 is 54511200

2	6700, 800, 900, 678
2	3350, 400, 450, 339
3	1675, 200, 225, 339
5	1675, 200, 75, 113
5	335, 40, 15, 113
	67, 8, 3, 113

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 67 x 8 x 3 x 113 = 54511200

Least Common Multiple of 6700,800,900,678 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6700,800,900,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6700,800,900,678) = 2

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

GCF(6700,800,900,678) x common factors =2 x 30000 = 60000

LCM(6700,800,900,678) = ( 6700 × 800 × 900 × 678 ) / 60000

LCM(6700,800,900,678) = 3270672000000 / 60000

LCM(6700,800,900,678) = 54511200

∴ Least Common Multiple of 6700,800,900,678 is 54511200

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 6700, 800, 900, 678

1. What is the LCM of 6700, 800, 900, 678?

Answer: LCM of 6700, 800, 900, 678 is 54511200.

2. What are the Factors of 54511200?

Answer: Factors of 54511200 are . There are integers that are factors of 54511200

3. How to Find the LCM of 6700, 800, 900, 678 ?

Least Common Multiple of 6700, 800, 900, 678.

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(6700, 800, 900, 678) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 67 x 113 = 54511200.