Least Common Multiple of 1000, 400, 1000, 264

Q: How to Find the LCM of 1000, 400, 1000, 264 ?

Least Common Multiple of 1000, 400, 1000, 264 = 66000 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(1000, 400, 1000, 264) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 = 66000.

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 1000, 400, 1000, 264 i.e. 66000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1000, 400, 1000, 264 is 66000.

LCM(1000, 400, 1000, 264) = 66000

LCM of 1000, 400, 1000, 264

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

Least Common Multiple of 1000, 400, 1000, 264 by common division method
Least Common Multiple of 1000, 400, 1000, 264 with GCF Formula

Least Common Multiple of 1000,400,1000,264

Least Common Multiple (LCM) of 1000,400,1000,264 is 66000

2	1000, 400, 1000, 264
2	500, 200, 500, 132
2	250, 100, 250, 66
5	125, 50, 125, 33
5	25, 10, 25, 33
5	5, 2, 5, 33
	1, 2, 1, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 5 x 1 x 2 x 1 x 33 = 66000

Least Common Multiple of 1000,400,1000,264 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 1000,400,1000,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1000,400,1000,264) = 8

common factors(in case of two or more numbers have common factors) = 200000

GCF(1000,400,1000,264) x common factors =8 x 200000 = 1600000

LCM(1000,400,1000,264) = ( 1000 × 400 × 1000 × 264 ) / 1600000

LCM(1000,400,1000,264) = 105600000000 / 1600000

LCM(1000,400,1000,264) = 66000

∴ Least Common Multiple of 1000,400,1000,264 is 66000

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 1000, 400, 1000, 264

1. What is the LCM of 1000, 400, 1000, 264?

Answer: LCM of 1000, 400, 1000, 264 is 66000.

2. What are the Factors of 66000?

Answer: Factors of 66000 are . There are integers that are factors of 66000

3. How to Find the LCM of 1000, 400, 1000, 264 ?

Least Common Multiple of 1000, 400, 1000, 264.

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(1000, 400, 1000, 264) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 = 66000.