Least Common Multiple of 54/822, 9976/1760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/822, 9976/1760 quickly i.e. 134676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/822, 9976/1760 is 134676.

LCM(54/822, 9976/1760) = 134676

LCM of 54/822, 9976/1760

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 54/822,9976/1760

Given numbers are 54/822,9976/1760

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 54,9976

Least Common Multiple of Numerators i.e. LCM of 54,9976 is 269352.

GCF of Denominators means GCF of 822,1760 as per the given fractions.

GCF of 822,1760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,9976

LCM of Fractions 54/822,9976/1760 is 134676

2 54, 9976
27, 4988

∴ So the LCM of the given numbers is 2 x 27 x 4988 = 269352

Least Common Multiple of 54,9976 with GCF Formula

Least Common Multiple of 54,9976 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 54,9976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,9976) = 2

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

GCF(54,9976) x common factors =2 x 1 = 2

LCM(54,9976) = ( 54 × 9976 ) / 2

LCM(54,9976) = 538704 / 2

LCM(54,9976) = 269352


Lets's calculate GCF of 822,1760

2 822, 1760
411, 880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269352/2

Therefore the LCM of Fractions 54/822,9976/1760 is 134676

Greatest Common Factor of 822,1760 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,1760 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Greatest Common Factor

We found the factors 822,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 822,1760 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 54/822, 9976/1760

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 54/822, 9976/1760?

Answer: LCM of Numerators as per given numbers 54/822, 9976/1760 is

LCM of Numerators i.e. for 54,9976 is 269352

GCF of denominators i.e. for 822,1760 is 2.

Thus, LCM of Fractions is 134676.Finally, LCM of Fractions for 54/822, 9976/1760 is 134676.