Least Common Multiple of 928/56, 256/5476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/56, 256/5476 quickly i.e. 1856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/56, 256/5476 is 1856.

LCM(928/56, 256/5476) = 1856

LCM of 928/56, 256/5476

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 928/56,256/5476

Given numbers are 928/56,256/5476

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 928,256

Least Common Multiple of Numerators i.e. LCM of 928,256 is 7424.

GCF of Denominators means GCF of 56,5476 as per the given fractions.

GCF of 56,5476 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,256

LCM of Fractions 928/56,256/5476 is 1856

2 928, 256
2 464, 128
2 232, 64
2 116, 32
2 58, 16
29, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 29 x 8 = 7424

Least Common Multiple of 928,256 with GCF Formula

Least Common Multiple of 928,256 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 928,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,256) = 32

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

GCF(928,256) x common factors =32 x 1 = 32

LCM(928,256) = ( 928 × 256 ) / 32

LCM(928,256) = 237568 / 32

LCM(928,256) = 7424


Lets's calculate GCF of 56,5476

2 56, 5476
2 28, 2738
14, 1369

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7424/4

Therefore the LCM of Fractions 928/56,256/5476 is 1856

Greatest Common Factor of 56,5476 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,5476 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1,2,4,37,74,148,1369,2738,5476

Greatest Common Factor

We found the factors 56,5476 . The biggest common factor number is the GCF number.
So the greatest common factor 56,5476 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 928/56, 256/5476

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 928/56, 256/5476?

Answer: LCM of Numerators as per given numbers 928/56, 256/5476 is

LCM of Numerators i.e. for 928,256 is 7424

GCF of denominators i.e. for 56,5476 is 4.

Thus, LCM of Fractions is 1856.Finally, LCM of Fractions for 928/56, 256/5476 is 1856.