Least Common Multiple of 976/30, 793/5474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/30, 793/5474 quickly i.e. 6344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/30, 793/5474 is 6344.

LCM(976/30, 793/5474) = 6344

LCM of 976/30, 793/5474

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 976/30,793/5474

Given numbers are 976/30,793/5474

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 976,793

Least Common Multiple of Numerators i.e. LCM of 976,793 is 12688.

GCF of Denominators means GCF of 30,5474 as per the given fractions.

GCF of 30,5474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,793

LCM of Fractions 976/30,793/5474 is 6344

61 976, 793
16, 13

∴ So the LCM of the given numbers is 61 x 16 x 13 = 12688

Least Common Multiple of 976,793 with GCF Formula

Least Common Multiple of 976,793 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 976,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,793) = 61

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

GCF(976,793) x common factors =61 x 1 = 61

LCM(976,793) = ( 976 × 793 ) / 61

LCM(976,793) = 773968 / 61

LCM(976,793) = 12688


Lets's calculate GCF of 30,5474

2 30, 5474
15, 2737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12688/2

Therefore the LCM of Fractions 976/30,793/5474 is 6344

Greatest Common Factor of 30,5474 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,5474 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Greatest Common Factor

We found the factors 30,5474 . The biggest common factor number is the GCF number.
So the greatest common factor 30,5474 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 976/30, 793/5474

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 976/30, 793/5474?

Answer: LCM of Numerators as per given numbers 976/30, 793/5474 is

LCM of Numerators i.e. for 976,793 is 12688

GCF of denominators i.e. for 30,5474 is 2.

Thus, LCM of Fractions is 6344.Finally, LCM of Fractions for 976/30, 793/5474 is 6344.