Least Common Multiple of 1953/656, 9310/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1953/656, 9310/976 quickly i.e. 2597490/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1953/656, 9310/976 is 2597490/16.

LCM(1953/656, 9310/976) = 2597490/16

LCM of 1953/656, 9310/976

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 1953/656,9310/976

Given numbers are 1953/656,9310/976

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 1953,9310

Least Common Multiple of Numerators i.e. LCM of 1953,9310 is 2597490.

GCF of Denominators means GCF of 656,976 as per the given fractions.

GCF of 656,976 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1953,9310

LCM of Fractions 1953/656,9310/976 is 2597490/16

7 1953, 9310
279, 1330

∴ So the LCM of the given numbers is 7 x 279 x 1330 = 2597490

Least Common Multiple of 1953,9310 with GCF Formula

Least Common Multiple of 1953,9310 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 1953,9310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1953,9310) = 7

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

GCF(1953,9310) x common factors =7 x 1 = 7

LCM(1953,9310) = ( 1953 × 9310 ) / 7

LCM(1953,9310) = 18182430 / 7

LCM(1953,9310) = 2597490


Lets's calculate GCF of 656,976

2 656, 976
2 328, 488
2 164, 244
2 82, 122
41, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2597490/16

Therefore the LCM of Fractions 1953/656,9310/976 is 2597490/16

Greatest Common Factor of 656,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,976 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 656,976 . The biggest common factor number is the GCF number.
So the greatest common factor 656,976 is 16.


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 1953/656, 9310/976

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 1953/656, 9310/976?

Answer: LCM of Numerators as per given numbers 1953/656, 9310/976 is

LCM of Numerators i.e. for 1953,9310 is 2597490

GCF of denominators i.e. for 656,976 is 16.

Thus, LCM of Fractions is 2597490/16.Finally, LCM of Fractions for 1953/656, 9310/976 is 2597490/16.