Least Common Multiple of 33, 75, 582, 400

Q: How to Find the LCM of 33, 75, 582, 400 ?

Least Common Multiple of 33, 75, 582, 400 = 1280400 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(33, 75, 582, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 97 = 1280400.

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 33, 75, 582, 400 i.e. 1280400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 75, 582, 400 is 1280400.

LCM(33, 75, 582, 400) = 1280400

LCM of 33, 75, 582, 400

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

Least Common Multiple of 33, 75, 582, 400 by common division method
Least Common Multiple of 33, 75, 582, 400 with GCF Formula

Least Common Multiple of 33,75,582,400

Least Common Multiple (LCM) of 33,75,582,400 is 1280400

2	33, 75, 582, 400
3	33, 75, 291, 200
5	11, 25, 97, 200
5	11, 5, 97, 40
	11, 1, 97, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 11 x 1 x 97 x 8 = 1280400

Least Common Multiple of 33,75,582,400 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 33,75,582,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,75,582,400) = 1

common factors(in case of two or more numbers have common factors) = 450

GCF(33,75,582,400) x common factors =1 x 450 = 450

LCM(33,75,582,400) = ( 33 × 75 × 582 × 400 ) / 450

LCM(33,75,582,400) = 576180000 / 450

LCM(33,75,582,400) = 1280400

∴ Least Common Multiple of 33,75,582,400 is 1280400

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 33, 75, 582, 400

1. What is the LCM of 33, 75, 582, 400?

Answer: LCM of 33, 75, 582, 400 is 1280400.

2. What are the Factors of 1280400?

Answer: Factors of 1280400 are . There are integers that are factors of 1280400

3. How to Find the LCM of 33, 75, 582, 400 ?

Least Common Multiple of 33, 75, 582, 400.

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(33, 75, 582, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 97 = 1280400.