Least Common Multiple of 982/75, 646/1757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/75, 646/1757 quickly i.e. 317186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/75, 646/1757 is 317186.

LCM(982/75, 646/1757) = 317186

LCM of 982/75, 646/1757

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 982/75,646/1757

Given numbers are 982/75,646/1757

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 982,646

Least Common Multiple of Numerators i.e. LCM of 982,646 is 317186.

GCF of Denominators means GCF of 75,1757 as per the given fractions.

GCF of 75,1757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,646

LCM of Fractions 982/75,646/1757 is 317186

2 982, 646
491, 323

∴ So the LCM of the given numbers is 2 x 491 x 323 = 317186

Least Common Multiple of 982,646 with GCF Formula

Least Common Multiple of 982,646 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 982,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,646) = 2

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

GCF(982,646) x common factors =2 x 1 = 2

LCM(982,646) = ( 982 × 646 ) / 2

LCM(982,646) = 634372 / 2

LCM(982,646) = 317186


Lets's calculate GCF of 75,1757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317186/1

Therefore the LCM of Fractions 982/75,646/1757 is 317186

Greatest Common Factor of 75,1757 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,1757 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 1757

List of positive integer factors of 1757 that divides 1757 without a remainder.

1,7,251,1757

Greatest Common Factor

We found the factors 75,1757 . The biggest common factor number is the GCF number.
So the greatest common factor 75,1757 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 982/75, 646/1757

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 982/75, 646/1757?

Answer: LCM of Numerators as per given numbers 982/75, 646/1757 is

LCM of Numerators i.e. for 982,646 is 317186

GCF of denominators i.e. for 75,1757 is 1.

Thus, LCM of Fractions is 317186.Finally, LCM of Fractions for 982/75, 646/1757 is 317186.