Least Common Multiple of 48, 56, 34, 464

Q: How to Find the LCM of 48, 56, 34, 464 ?

Least Common Multiple of 48, 56, 34, 464 = 165648 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(48, 56, 34, 464) = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 29 = 165648.

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 48, 56, 34, 464 i.e. 165648 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 56, 34, 464 is 165648.

LCM(48, 56, 34, 464) = 165648

LCM of 48, 56, 34, 464

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

Least Common Multiple of 48, 56, 34, 464 by common division method
Least Common Multiple of 48, 56, 34, 464 with GCF Formula

Least Common Multiple of 48,56,34,464

Least Common Multiple (LCM) of 48,56,34,464 is 165648

2	48, 56, 34, 464
2	24, 28, 17, 232
2	12, 14, 17, 116
2	6, 7, 17, 58
	3, 7, 17, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 17 x 29 = 165648

Least Common Multiple of 48,56,34,464 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 48,56,34,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,56,34,464) = 2

common factors(in case of two or more numbers have common factors) = 128

GCF(48,56,34,464) x common factors =2 x 128 = 256

LCM(48,56,34,464) = ( 48 × 56 × 34 × 464 ) / 256

LCM(48,56,34,464) = 42405888 / 256

LCM(48,56,34,464) = 165648

∴ Least Common Multiple of 48,56,34,464 is 165648

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 48, 56, 34, 464

1. What is the LCM of 48, 56, 34, 464?

Answer: LCM of 48, 56, 34, 464 is 165648.

2. What are the Factors of 165648?

Answer: Factors of 165648 are . There are integers that are factors of 165648

3. How to Find the LCM of 48, 56, 34, 464 ?

Least Common Multiple of 48, 56, 34, 464.

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(48, 56, 34, 464) = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 29 = 165648.