Least Common Multiple of 976/78, 470/9415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/78, 470/9415 quickly i.e. 229360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/78, 470/9415 is 229360.

LCM(976/78, 470/9415) = 229360

LCM of 976/78, 470/9415

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 976/78,470/9415

Given numbers are 976/78,470/9415

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 976,470

Least Common Multiple of Numerators i.e. LCM of 976,470 is 229360.

GCF of Denominators means GCF of 78,9415 as per the given fractions.

GCF of 78,9415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,470

LCM of Fractions 976/78,470/9415 is 229360

2 976, 470
488, 235

∴ So the LCM of the given numbers is 2 x 488 x 235 = 229360

Least Common Multiple of 976,470 with GCF Formula

Least Common Multiple of 976,470 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 976,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,470) = 2

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

GCF(976,470) x common factors =2 x 1 = 2

LCM(976,470) = ( 976 × 470 ) / 2

LCM(976,470) = 458720 / 2

LCM(976,470) = 229360


Lets's calculate GCF of 78,9415

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229360/1

Therefore the LCM of Fractions 976/78,470/9415 is 229360

Greatest Common Factor of 78,9415 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,9415 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 9415

List of positive integer factors of 9415 that divides 9415 without a remainder.

1,5,7,35,269,1345,1883,9415

Greatest Common Factor

We found the factors 78,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 78,9415 is 1.


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 976/78, 470/9415

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 976/78, 470/9415?

Answer: LCM of Numerators as per given numbers 976/78, 470/9415 is

LCM of Numerators i.e. for 976,470 is 229360

GCF of denominators i.e. for 78,9415 is 1.

Thus, LCM of Fractions is 229360.Finally, LCM of Fractions for 976/78, 470/9415 is 229360.