Least Common Multiple of 375, 3200

Q: How to Find the LCM of 375, 3200 ?

Least Common Multiple of 375, 3200 = 48000 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(375, 3200) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 = 48000.

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 375, 3200 i.e. 48000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 375, 3200 is 48000.

LCM(375, 3200) = 48000

LCM of 375, 3200

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

Least Common Multiple of 375, 3200 by common division method
Least Common Multiple of 375, 3200 with GCF Formula

Least Common Multiple of 375,3200

Least Common Multiple (LCM) of 375,3200 is 48000

5	375, 3200
5	75, 640
	15, 128

∴ So the LCM of the given numbers is 5 x 5 x 15 x 128 = 48000

Least Common Multiple of 375,3200 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 375,3200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,3200) = 25

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

GCF(375,3200) x common factors =25 x 1 = 25

LCM(375,3200) = ( 375 × 3200 ) / 25

LCM(375,3200) = 1200000 / 25

LCM(375,3200) = 48000

∴ Least Common Multiple of 375,3200 is 48000

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 375, 3200

1. What is the LCM of 375, 3200?

Answer: LCM of 375, 3200 is 48000.

2. What are the Factors of 48000?

Answer: Factors of 48000 are . There are integers that are factors of 48000

3. How to Find the LCM of 375, 3200 ?

Least Common Multiple of 375, 3200.

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(375, 3200) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 = 48000.