Least Common Multiple of 460, 1928

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, 1928 i.e. 221720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 1928 is 221720.

LCM(460, 1928) = 221720

LCM of 460, 1928

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

LCM of:

Least Common Multiple of 460,1928

Least Common Multiple (LCM) of 460,1928 is 221720

2 460, 1928
2 230, 964
115, 482

∴ So the LCM of the given numbers is 2 x 2 x 115 x 482 = 221720

Least Common Multiple of 460,1928 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 460,1928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,1928) = 4

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

GCF(460,1928) x common factors =4 x 1 = 4

LCM(460,1928) = ( 460 × 1928 ) / 4

LCM(460,1928) = 886880 / 4

LCM(460,1928) = 221720

∴ Least Common Multiple of 460,1928 is 221720

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 460, 1928

1. What is the LCM of 460, 1928?

Answer: LCM of 460, 1928 is 221720.

2. What are the Factors of 221720?

Answer: Factors of 221720 are . There are integers that are factors of 221720

3. How to Find the LCM of 460, 1928 ?

Least Common Multiple of 460, 1928.

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, 1928) = 2 x 2 x 2 x 5 x 23 x 241 = 221720.