Least Common Multiple of 460, 4608

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 460, 4608 i.e. 529920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 4608 is 529920.

LCM(460, 4608) = 529920

LCM of 460, 4608

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

LCM of:

Least Common Multiple of 460,4608

Least Common Multiple (LCM) of 460,4608 is 529920

2 460, 4608
2 230, 2304
115, 1152

∴ So the LCM of the given numbers is 2 x 2 x 115 x 1152 = 529920

Least Common Multiple of 460,4608 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 460,4608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,4608) = 4

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

GCF(460,4608) x common factors =4 x 1 = 4

LCM(460,4608) = ( 460 × 4608 ) / 4

LCM(460,4608) = 2119680 / 4

LCM(460,4608) = 529920

∴ Least Common Multiple of 460,4608 is 529920

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 460, 4608

1. What is the LCM of 460, 4608?

Answer: LCM of 460, 4608 is 529920.

2. What are the Factors of 529920?

Answer: Factors of 529920 are . There are integers that are factors of 529920

3. How to Find the LCM of 460, 4608 ?

Least Common Multiple of 460, 4608.

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(460, 4608) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 = 529920.