Least Common Multiple of 3750, 1200

Q: How to Find the LCM of 3750, 1200 ?

Least Common Multiple of 3750, 1200 = 30000 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(3750, 1200) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 30000.

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 3750, 1200 i.e. 30000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3750, 1200 is 30000.

LCM(3750, 1200) = 30000

LCM of 3750, 1200

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

Least Common Multiple of 3750, 1200 by common division method
Least Common Multiple of 3750, 1200 with GCF Formula

Least Common Multiple of 3750,1200

Least Common Multiple (LCM) of 3750,1200 is 30000

2	3750, 1200
3	1875, 600
5	625, 200
5	125, 40
	25, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 25 x 8 = 30000

Least Common Multiple of 3750,1200 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 3750,1200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3750,1200) = 150

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

GCF(3750,1200) x common factors =150 x 1 = 150

LCM(3750,1200) = ( 3750 × 1200 ) / 150

LCM(3750,1200) = 4500000 / 150

LCM(3750,1200) = 30000

∴ Least Common Multiple of 3750,1200 is 30000

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 3750, 1200

1. What is the LCM of 3750, 1200?

Answer: LCM of 3750, 1200 is 30000.

2. What are the Factors of 30000?

Answer: Factors of 30000 are . There are integers that are factors of 30000

3. How to Find the LCM of 3750, 1200 ?

Least Common Multiple of 3750, 1200.

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(3750, 1200) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 = 30000.