Least Common Multiple of 8/984, 46/540, 54/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/984, 46/540, 54/922 quickly i.e. 2484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/984, 46/540, 54/922 is 2484.

LCM(8/984, 46/540, 54/922) = 2484

LCM of 8/984, 46/540, 54/922

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 8/984,46/540,54/922

Given numbers are 8/984,46/540,54/922

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 8,46,54

Least Common Multiple of Numerators i.e. LCM of 8,46,54 is 4968.

GCF of Denominators means GCF of 984,540,922 as per the given fractions.

GCF of 984,540,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,46,54

LCM of Fractions 8/984,46/540,54/922 is 2484

2 8, 46, 54
4, 23, 27

∴ So the LCM of the given numbers is 2 x 4 x 23 x 27 = 4968

Least Common Multiple of 8,46,54 with GCF Formula

Least Common Multiple of 8,46,54 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 8,46,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,46,54) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(8,46,54) x common factors =2 x 2 = 4

LCM(8,46,54) = ( 8 × 46 × 54 ) / 4

LCM(8,46,54) = 19872 / 4

LCM(8,46,54) = 4968


Lets's calculate GCF of 984,540,922

2 984, 540, 922
492, 270, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4968/2

Therefore the LCM of Fractions 8/984,46/540,54/922 is 2484

Greatest Common Factor of 984,540,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,540,922 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 984,540,922 . The biggest common factor number is the GCF number.
So the greatest common factor 984,540,922 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 8/984, 46/540, 54/922

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 8/984, 46/540, 54/922?

Answer: LCM of Numerators as per given numbers 8/984, 46/540, 54/922 is

LCM of Numerators i.e. for 8,46,54 is 4968

GCF of denominators i.e. for 984,540,922 is 2.

Thus, LCM of Fractions is 2484.Finally, LCM of Fractions for 8/984, 46/540, 54/922 is 2484.