Least Common Multiple of 52/979, 282/847, 969/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/979, 282/847, 969/451 quickly i.e. 2368236/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/979, 282/847, 969/451 is 2368236/11.

LCM(52/979, 282/847, 969/451) = 2368236/11

LCM of 52/979, 282/847, 969/451

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 52/979,282/847,969/451

Given numbers are 52/979,282/847,969/451

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 52,282,969

Least Common Multiple of Numerators i.e. LCM of 52,282,969 is 2368236.

GCF of Denominators means GCF of 979,847,451 as per the given fractions.

GCF of 979,847,451 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,282,969

LCM of Fractions 52/979,282/847,969/451 is 2368236/11

2 52, 282, 969
3 26, 141, 969
26, 47, 323

∴ So the LCM of the given numbers is 2 x 3 x 26 x 47 x 323 = 2368236

Least Common Multiple of 52,282,969 with GCF Formula

Least Common Multiple of 52,282,969 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 52,282,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,282,969) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(52,282,969) x common factors =1 x 6 = 6

LCM(52,282,969) = ( 52 × 282 × 969 ) / 6

LCM(52,282,969) = 14209416 / 6

LCM(52,282,969) = 2368236


Lets's calculate GCF of 979,847,451

11 979, 847, 451
89, 77, 41

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2368236/11

Therefore the LCM of Fractions 52/979,282/847,969/451 is 2368236/11

Greatest Common Factor of 979,847,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,847,451 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 979,847,451 . The biggest common factor number is the GCF number.
So the greatest common factor 979,847,451 is 11.


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 52/979, 282/847, 969/451

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 52/979, 282/847, 969/451?

Answer: LCM of Numerators as per given numbers 52/979, 282/847, 969/451 is

LCM of Numerators i.e. for 52,282,969 is 2368236

GCF of denominators i.e. for 979,847,451 is 11.

Thus, LCM of Fractions is 2368236/11.Finally, LCM of Fractions for 52/979, 282/847, 969/451 is 2368236/11.