Least Common Multiple of 462, 448

Q: How to Find the LCM of 462, 448 ?

Least Common Multiple of 462, 448 = 14784 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, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 = 14784.

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, 448 i.e. 14784 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 448 is 14784.

LCM(462, 448) = 14784

LCM of 462, 448

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

Least Common Multiple of 462, 448 by common division method
Least Common Multiple of 462, 448 with GCF Formula

Least Common Multiple of 462,448

Least Common Multiple (LCM) of 462,448 is 14784

2	462, 448
7	231, 224
	33, 32

∴ So the LCM of the given numbers is 2 x 7 x 33 x 32 = 14784

Least Common Multiple of 462,448 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 462,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,448) = 14

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

GCF(462,448) x common factors =14 x 1 = 14

LCM(462,448) = ( 462 × 448 ) / 14

LCM(462,448) = 206976 / 14

LCM(462,448) = 14784

∴ Least Common Multiple of 462,448 is 14784

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 462, 448

1. What is the LCM of 462, 448?

Answer: LCM of 462, 448 is 14784.

2. What are the Factors of 14784?

Answer: Factors of 14784 are . There are integers that are factors of 14784

3. How to Find the LCM of 462, 448 ?

Least Common Multiple of 462, 448.

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, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 = 14784.