Least Common Multiple of 892, 2000

Q: How to Find the LCM of 892, 2000 ?

Least Common Multiple of 892, 2000 = 446000 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(892, 2000) = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 223 = 446000.

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 892, 2000 i.e. 446000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 892, 2000 is 446000.

LCM(892, 2000) = 446000

LCM of 892, 2000

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

Least Common Multiple of 892, 2000 by common division method
Least Common Multiple of 892, 2000 with GCF Formula

Least Common Multiple of 892,2000

Least Common Multiple (LCM) of 892,2000 is 446000

2	892, 2000
2	446, 1000
	223, 500

∴ So the LCM of the given numbers is 2 x 2 x 223 x 500 = 446000

Least Common Multiple of 892,2000 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 892,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,2000) = 4

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

GCF(892,2000) x common factors =4 x 1 = 4

LCM(892,2000) = ( 892 × 2000 ) / 4

LCM(892,2000) = 1784000 / 4

LCM(892,2000) = 446000

∴ Least Common Multiple of 892,2000 is 446000

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 892, 2000

1. What is the LCM of 892, 2000?

Answer: LCM of 892, 2000 is 446000.

2. What are the Factors of 446000?

Answer: Factors of 446000 are . There are integers that are factors of 446000

3. How to Find the LCM of 892, 2000 ?

Least Common Multiple of 892, 2000.

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(892, 2000) = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 223 = 446000.