Least Common Multiple of 320, 6750

Q: How to Find the LCM of 320, 6750 ?

Least Common Multiple of 320, 6750 = 216000 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(320, 6750) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 = 216000.

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 320, 6750 i.e. 216000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 320, 6750 is 216000.

LCM(320, 6750) = 216000

LCM of 320, 6750

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

Least Common Multiple of 320, 6750 by common division method
Least Common Multiple of 320, 6750 with GCF Formula

Least Common Multiple of 320,6750

Least Common Multiple (LCM) of 320,6750 is 216000

2	320, 6750
5	160, 3375
	32, 675

∴ So the LCM of the given numbers is 2 x 5 x 32 x 675 = 216000

Least Common Multiple of 320,6750 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 320,6750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,6750) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(320,6750) x common factors =10 x 1 = 10

LCM(320,6750) = ( 320 × 6750 ) / 10

LCM(320,6750) = 2160000 / 10

LCM(320,6750) = 216000

∴ Least Common Multiple of 320,6750 is 216000

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 320, 6750

1. What is the LCM of 320, 6750?

Answer: LCM of 320, 6750 is 216000.

2. What are the Factors of 216000?

Answer: Factors of 216000 are . There are integers that are factors of 216000

3. How to Find the LCM of 320, 6750 ?

Least Common Multiple of 320, 6750.

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(320, 6750) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 = 216000.