Least Common Multiple of 264, 352, 458

Q: How to Find the LCM of 264, 352, 458 ?

Least Common Multiple of 264, 352, 458 = 241824 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(264, 352, 458) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 229 = 241824.

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 264, 352, 458 i.e. 241824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 264, 352, 458 is 241824.

LCM(264, 352, 458) = 241824

LCM of 264, 352, 458

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

Least Common Multiple of 264, 352, 458 by common division method
Least Common Multiple of 264, 352, 458 with GCF Formula

Least Common Multiple of 264,352,458

Least Common Multiple (LCM) of 264,352,458 is 241824

2	264, 352, 458
2	132, 176, 229
2	66, 88, 229
11	33, 44, 229
	3, 4, 229

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 3 x 4 x 229 = 241824

Least Common Multiple of 264,352,458 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 264,352,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,352,458) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(264,352,458) x common factors =2 x 88 = 176

LCM(264,352,458) = ( 264 × 352 × 458 ) / 176

LCM(264,352,458) = 42561024 / 176

LCM(264,352,458) = 241824

∴ Least Common Multiple of 264,352,458 is 241824

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 264, 352, 458

1. What is the LCM of 264, 352, 458?

Answer: LCM of 264, 352, 458 is 241824.

2. What are the Factors of 241824?

Answer: Factors of 241824 are . There are integers that are factors of 241824

3. How to Find the LCM of 264, 352, 458 ?

Least Common Multiple of 264, 352, 458.

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(264, 352, 458) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 229 = 241824.