Least Common Multiple of 928/40, 4762/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/40, 4762/678 quickly i.e. 1104784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/40, 4762/678 is 1104784.

LCM(928/40, 4762/678) = 1104784

LCM of 928/40, 4762/678

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 928/40,4762/678

Given numbers are 928/40,4762/678

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 928,4762

Least Common Multiple of Numerators i.e. LCM of 928,4762 is 2209568.

GCF of Denominators means GCF of 40,678 as per the given fractions.

GCF of 40,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,4762

LCM of Fractions 928/40,4762/678 is 1104784

2 928, 4762
464, 2381

∴ So the LCM of the given numbers is 2 x 464 x 2381 = 2209568

Least Common Multiple of 928,4762 with GCF Formula

Least Common Multiple of 928,4762 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 928,4762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,4762) = 2

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

GCF(928,4762) x common factors =2 x 1 = 2

LCM(928,4762) = ( 928 × 4762 ) / 2

LCM(928,4762) = 4419136 / 2

LCM(928,4762) = 2209568


Lets's calculate GCF of 40,678

2 40, 678
20, 339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2209568/2

Therefore the LCM of Fractions 928/40,4762/678 is 1104784

Greatest Common Factor of 40,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,678 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 40,678 . The biggest common factor number is the GCF number.
So the greatest common factor 40,678 is 2.


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 928/40, 4762/678

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 928/40, 4762/678?

Answer: LCM of Numerators as per given numbers 928/40, 4762/678 is

LCM of Numerators i.e. for 928,4762 is 2209568

GCF of denominators i.e. for 40,678 is 2.

Thus, LCM of Fractions is 1104784.Finally, LCM of Fractions for 928/40, 4762/678 is 1104784.