Least Common Multiple of 976/441, 1647/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/441, 1647/123 quickly i.e. 8784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/441, 1647/123 is 8784.

LCM(976/441, 1647/123) = 8784

LCM of 976/441, 1647/123

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 976/441,1647/123

Given numbers are 976/441,1647/123

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 976,1647

Least Common Multiple of Numerators i.e. LCM of 976,1647 is 26352.

GCF of Denominators means GCF of 441,123 as per the given fractions.

GCF of 441,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,1647

LCM of Fractions 976/441,1647/123 is 8784

61 976, 1647
16, 27

∴ So the LCM of the given numbers is 61 x 16 x 27 = 26352

Least Common Multiple of 976,1647 with GCF Formula

Least Common Multiple of 976,1647 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 976,1647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,1647) = 61

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

GCF(976,1647) x common factors =61 x 1 = 61

LCM(976,1647) = ( 976 × 1647 ) / 61

LCM(976,1647) = 1607472 / 61

LCM(976,1647) = 26352


Lets's calculate GCF of 441,123

3 441, 123
147, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26352/3

Therefore the LCM of Fractions 976/441,1647/123 is 8784

Greatest Common Factor of 441,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,123 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 441,123 . The biggest common factor number is the GCF number.
So the greatest common factor 441,123 is 3.


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 976/441, 1647/123

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 976/441, 1647/123?

Answer: LCM of Numerators as per given numbers 976/441, 1647/123 is

LCM of Numerators i.e. for 976,1647 is 26352

GCF of denominators i.e. for 441,123 is 3.

Thus, LCM of Fractions is 8784.Finally, LCM of Fractions for 976/441, 1647/123 is 8784.