Least Common Multiple of 1140, 5000

Q: How to Find the LCM of 1140, 5000 ?

Least Common Multiple of 1140, 5000 = 285000 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(1140, 5000) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 19 = 285000.

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 1140, 5000 i.e. 285000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1140, 5000 is 285000.

LCM(1140, 5000) = 285000

LCM of 1140, 5000

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

Least Common Multiple of 1140, 5000 by common division method
Least Common Multiple of 1140, 5000 with GCF Formula

Least Common Multiple of 1140,5000

Least Common Multiple (LCM) of 1140,5000 is 285000

2	1140, 5000
2	570, 2500
5	285, 1250
	57, 250

∴ So the LCM of the given numbers is 2 x 2 x 5 x 57 x 250 = 285000

Least Common Multiple of 1140,5000 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 1140,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1140,5000) = 20

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

GCF(1140,5000) x common factors =20 x 1 = 20

LCM(1140,5000) = ( 1140 × 5000 ) / 20

LCM(1140,5000) = 5700000 / 20

LCM(1140,5000) = 285000

∴ Least Common Multiple of 1140,5000 is 285000

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 1140, 5000

1. What is the LCM of 1140, 5000?

Answer: LCM of 1140, 5000 is 285000.

2. What are the Factors of 285000?

Answer: Factors of 285000 are . There are integers that are factors of 285000

3. How to Find the LCM of 1140, 5000 ?

Least Common Multiple of 1140, 5000.

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(1140, 5000) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 19 = 285000.