Least Common Multiple of 1500, 8400

Q: How to Find the LCM of 1500, 8400 ?

Least Common Multiple of 1500, 8400 = 42000 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(1500, 8400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 = 42000.

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 1500, 8400 i.e. 42000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1500, 8400 is 42000.

LCM(1500, 8400) = 42000

LCM of 1500, 8400

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

Least Common Multiple of 1500, 8400 by common division method
Least Common Multiple of 1500, 8400 with GCF Formula

Least Common Multiple of 1500,8400

Least Common Multiple (LCM) of 1500,8400 is 42000

2	1500, 8400
2	750, 4200
3	375, 2100
5	125, 700
5	25, 140
	5, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 5 x 28 = 42000

Least Common Multiple of 1500,8400 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 1500,8400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1500,8400) = 300

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

GCF(1500,8400) x common factors =300 x 1 = 300

LCM(1500,8400) = ( 1500 × 8400 ) / 300

LCM(1500,8400) = 12600000 / 300

LCM(1500,8400) = 42000

∴ Least Common Multiple of 1500,8400 is 42000

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 1500, 8400

1. What is the LCM of 1500, 8400?

Answer: LCM of 1500, 8400 is 42000.

2. What are the Factors of 42000?

Answer: Factors of 42000 are . There are integers that are factors of 42000

3. How to Find the LCM of 1500, 8400 ?

Least Common Multiple of 1500, 8400.

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(1500, 8400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 = 42000.