Least Common Multiple of 258, 1200

Q: How to Find the LCM of 258, 1200 ?

Least Common Multiple of 258, 1200 = 51600 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(258, 1200) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 43 = 51600.

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 258, 1200 i.e. 51600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 258, 1200 is 51600.

LCM(258, 1200) = 51600

LCM of 258, 1200

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

Least Common Multiple of 258, 1200 by common division method
Least Common Multiple of 258, 1200 with GCF Formula

Least Common Multiple of 258,1200

Least Common Multiple (LCM) of 258,1200 is 51600

2	258, 1200
3	129, 600
	43, 200

∴ So the LCM of the given numbers is 2 x 3 x 43 x 200 = 51600

Least Common Multiple of 258,1200 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 258,1200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,1200) = 6

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

GCF(258,1200) x common factors =6 x 1 = 6

LCM(258,1200) = ( 258 × 1200 ) / 6

LCM(258,1200) = 309600 / 6

LCM(258,1200) = 51600

∴ Least Common Multiple of 258,1200 is 51600

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 258, 1200

1. What is the LCM of 258, 1200?

Answer: LCM of 258, 1200 is 51600.

2. What are the Factors of 51600?

Answer: Factors of 51600 are . There are integers that are factors of 51600

3. How to Find the LCM of 258, 1200 ?

Least Common Multiple of 258, 1200.

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(258, 1200) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 43 = 51600.