Least Common Multiple of 462, 2256

Q: How to Find the LCM of 462, 2256 ?

Least Common Multiple of 462, 2256 = 173712 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(462, 2256) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 47 = 173712.

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 462, 2256 i.e. 173712 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 2256 is 173712.

LCM(462, 2256) = 173712

LCM of 462, 2256

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

Least Common Multiple of 462, 2256 by common division method
Least Common Multiple of 462, 2256 with GCF Formula

Least Common Multiple of 462,2256

Least Common Multiple (LCM) of 462,2256 is 173712

2	462, 2256
3	231, 1128
	77, 376

∴ So the LCM of the given numbers is 2 x 3 x 77 x 376 = 173712

Least Common Multiple of 462,2256 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 462,2256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,2256) = 6

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

GCF(462,2256) x common factors =6 x 1 = 6

LCM(462,2256) = ( 462 × 2256 ) / 6

LCM(462,2256) = 1042272 / 6

LCM(462,2256) = 173712

∴ Least Common Multiple of 462,2256 is 173712

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 462, 2256

1. What is the LCM of 462, 2256?

Answer: LCM of 462, 2256 is 173712.

2. What are the Factors of 173712?

Answer: Factors of 173712 are . There are integers that are factors of 173712

3. How to Find the LCM of 462, 2256 ?

Least Common Multiple of 462, 2256.

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(462, 2256) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 47 = 173712.