Least Common Multiple of 7982/938, 4276/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7982/938, 4276/403 quickly i.e. 17065516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7982/938, 4276/403 is 17065516.

LCM(7982/938, 4276/403) = 17065516

LCM of 7982/938, 4276/403

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 7982/938,4276/403

Given numbers are 7982/938,4276/403

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 7982,4276

Least Common Multiple of Numerators i.e. LCM of 7982,4276 is 17065516.

GCF of Denominators means GCF of 938,403 as per the given fractions.

GCF of 938,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7982,4276

LCM of Fractions 7982/938,4276/403 is 17065516

2 7982, 4276
3991, 2138

∴ So the LCM of the given numbers is 2 x 3991 x 2138 = 17065516

Least Common Multiple of 7982,4276 with GCF Formula

Least Common Multiple of 7982,4276 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 7982,4276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7982,4276) = 2

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

GCF(7982,4276) x common factors =2 x 1 = 2

LCM(7982,4276) = ( 7982 × 4276 ) / 2

LCM(7982,4276) = 34131032 / 2

LCM(7982,4276) = 17065516


Lets's calculate GCF of 938,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17065516/1

Therefore the LCM of Fractions 7982/938,4276/403 is 17065516

Greatest Common Factor of 938,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,403 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 938,403 . The biggest common factor number is the GCF number.
So the greatest common factor 938,403 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7982/938, 4276/403

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 7982/938, 4276/403?

Answer: LCM of Numerators as per given numbers 7982/938, 4276/403 is

LCM of Numerators i.e. for 7982,4276 is 17065516

GCF of denominators i.e. for 938,403 is 1.

Thus, LCM of Fractions is 17065516.Finally, LCM of Fractions for 7982/938, 4276/403 is 17065516.