Least Common Multiple of 954/48, 224/7764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 954/48, 224/7764 quickly i.e. 8904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 954/48, 224/7764 is 8904.

LCM(954/48, 224/7764) = 8904

LCM of 954/48, 224/7764

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 954/48,224/7764

Given numbers are 954/48,224/7764

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 954,224

Least Common Multiple of Numerators i.e. LCM of 954,224 is 106848.

GCF of Denominators means GCF of 48,7764 as per the given fractions.

GCF of 48,7764 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 954,224

LCM of Fractions 954/48,224/7764 is 8904

2 954, 224
477, 112

∴ So the LCM of the given numbers is 2 x 477 x 112 = 106848

Least Common Multiple of 954,224 with GCF Formula

Least Common Multiple of 954,224 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 954,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,224) = 2

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

GCF(954,224) x common factors =2 x 1 = 2

LCM(954,224) = ( 954 × 224 ) / 2

LCM(954,224) = 213696 / 2

LCM(954,224) = 106848


Lets's calculate GCF of 48,7764

2 48, 7764
2 24, 3882
3 12, 1941
4, 647

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106848/12

Therefore the LCM of Fractions 954/48,224/7764 is 8904

Greatest Common Factor of 48,7764 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,7764 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1,2,3,4,6,12,647,1294,1941,2588,3882,7764

Greatest Common Factor

We found the factors 48,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 48,7764 is 12.


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 954/48, 224/7764

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 954/48, 224/7764?

Answer: LCM of Numerators as per given numbers 954/48, 224/7764 is

LCM of Numerators i.e. for 954,224 is 106848

GCF of denominators i.e. for 48,7764 is 12.

Thus, LCM of Fractions is 8904.Finally, LCM of Fractions for 954/48, 224/7764 is 8904.