Least Common Multiple of 982/965, 7652/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 982/965, 7652/386 quickly i.e. 3757132/193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/965, 7652/386 is 3757132/193.

LCM(982/965, 7652/386) = 3757132/193

LCM of 982/965, 7652/386

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 982/965,7652/386

Given numbers are 982/965,7652/386

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 982,7652

Least Common Multiple of Numerators i.e. LCM of 982,7652 is 3757132.

GCF of Denominators means GCF of 965,386 as per the given fractions.

GCF of 965,386 is 193 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,7652

LCM of Fractions 982/965,7652/386 is 3757132/193

2 982, 7652
491, 3826

∴ So the LCM of the given numbers is 2 x 491 x 3826 = 3757132

Least Common Multiple of 982,7652 with GCF Formula

Least Common Multiple of 982,7652 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 982,7652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,7652) = 2

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

GCF(982,7652) x common factors =2 x 1 = 2

LCM(982,7652) = ( 982 × 7652 ) / 2

LCM(982,7652) = 7514264 / 2

LCM(982,7652) = 3757132


Lets's calculate GCF of 965,386

193 965, 386
5, 2

∴ So the GCF of the given numbers is 193 = 193

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3757132/193

Therefore the LCM of Fractions 982/965,7652/386 is 3757132/193

Greatest Common Factor of 965,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,386 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 965,386 . The biggest common factor number is the GCF number.
So the greatest common factor 965,386 is 193.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 982/965, 7652/386

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 982/965, 7652/386?

Answer: LCM of Numerators as per given numbers 982/965, 7652/386 is

LCM of Numerators i.e. for 982,7652 is 3757132

GCF of denominators i.e. for 965,386 is 193.

Thus, LCM of Fractions is 3757132/193.Finally, LCM of Fractions for 982/965, 7652/386 is 3757132/193.