Least Common Multiple of 9661/374, 4874/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9661/374, 4874/357 quickly i.e. 47087714/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9661/374, 4874/357 is 47087714/17.

LCM(9661/374, 4874/357) = 47087714/17

LCM of 9661/374, 4874/357

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 9661/374,4874/357

Given numbers are 9661/374,4874/357

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 9661,4874

Least Common Multiple of Numerators i.e. LCM of 9661,4874 is 47087714.

GCF of Denominators means GCF of 374,357 as per the given fractions.

GCF of 374,357 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9661,4874

LCM of Fractions 9661/374,4874/357 is 47087714/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 47087714

Least Common Multiple of 9661,4874 with GCF Formula

Least Common Multiple of 9661,4874 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 9661,4874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9661,4874) = 1

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

GCF(9661,4874) x common factors =1 x 1 = 1

LCM(9661,4874) = ( 9661 × 4874 ) / 1

LCM(9661,4874) = 47087714 / 1

LCM(9661,4874) = 47087714


Lets's calculate GCF of 374,357

17 374, 357
22, 21

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47087714/17

Therefore the LCM of Fractions 9661/374,4874/357 is 47087714/17

Greatest Common Factor of 374,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,357 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 374,357 . The biggest common factor number is the GCF number.
So the greatest common factor 374,357 is 17.


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 9661/374, 4874/357

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 9661/374, 4874/357?

Answer: LCM of Numerators as per given numbers 9661/374, 4874/357 is

LCM of Numerators i.e. for 9661,4874 is 47087714

GCF of denominators i.e. for 374,357 is 17.

Thus, LCM of Fractions is 47087714/17.Finally, LCM of Fractions for 9661/374, 4874/357 is 47087714/17.