Least Common Multiple of 6201/175, 3714/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6201/175, 3714/314 quickly i.e. 7676838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6201/175, 3714/314 is 7676838.

LCM(6201/175, 3714/314) = 7676838

LCM of 6201/175, 3714/314

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 6201/175,3714/314

Given numbers are 6201/175,3714/314

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 6201,3714

Least Common Multiple of Numerators i.e. LCM of 6201,3714 is 7676838.

GCF of Denominators means GCF of 175,314 as per the given fractions.

GCF of 175,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6201,3714

LCM of Fractions 6201/175,3714/314 is 7676838

3 6201, 3714
2067, 1238

∴ So the LCM of the given numbers is 3 x 2067 x 1238 = 7676838

Least Common Multiple of 6201,3714 with GCF Formula

Least Common Multiple of 6201,3714 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 6201,3714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6201,3714) = 3

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

GCF(6201,3714) x common factors =3 x 1 = 3

LCM(6201,3714) = ( 6201 × 3714 ) / 3

LCM(6201,3714) = 23030514 / 3

LCM(6201,3714) = 7676838


Lets's calculate GCF of 175,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7676838/1

Therefore the LCM of Fractions 6201/175,3714/314 is 7676838

Greatest Common Factor of 175,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,314 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 175,314 . The biggest common factor number is the GCF number.
So the greatest common factor 175,314 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 6201/175, 3714/314

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 6201/175, 3714/314?

Answer: LCM of Numerators as per given numbers 6201/175, 3714/314 is

LCM of Numerators i.e. for 6201,3714 is 7676838

GCF of denominators i.e. for 175,314 is 1.

Thus, LCM of Fractions is 7676838.Finally, LCM of Fractions for 6201/175, 3714/314 is 7676838.