Least Common Multiple of 4130/975, 3898/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4130/975, 3898/871 quickly i.e. 8049370/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4130/975, 3898/871 is 8049370/13.

LCM(4130/975, 3898/871) = 8049370/13

LCM of 4130/975, 3898/871

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 4130/975,3898/871

Given numbers are 4130/975,3898/871

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 4130,3898

Least Common Multiple of Numerators i.e. LCM of 4130,3898 is 8049370.

GCF of Denominators means GCF of 975,871 as per the given fractions.

GCF of 975,871 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4130,3898

LCM of Fractions 4130/975,3898/871 is 8049370/13

2 4130, 3898
2065, 1949

∴ So the LCM of the given numbers is 2 x 2065 x 1949 = 8049370

Least Common Multiple of 4130,3898 with GCF Formula

Least Common Multiple of 4130,3898 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 4130,3898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4130,3898) = 2

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

GCF(4130,3898) x common factors =2 x 1 = 2

LCM(4130,3898) = ( 4130 × 3898 ) / 2

LCM(4130,3898) = 16098740 / 2

LCM(4130,3898) = 8049370


Lets's calculate GCF of 975,871

13 975, 871
75, 67

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8049370/13

Therefore the LCM of Fractions 4130/975,3898/871 is 8049370/13

Greatest Common Factor of 975,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,871 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 975,871 . The biggest common factor number is the GCF number.
So the greatest common factor 975,871 is 13.


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 4130/975, 3898/871

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 4130/975, 3898/871?

Answer: LCM of Numerators as per given numbers 4130/975, 3898/871 is

LCM of Numerators i.e. for 4130,3898 is 8049370

GCF of denominators i.e. for 975,871 is 13.

Thus, LCM of Fractions is 8049370/13.Finally, LCM of Fractions for 4130/975, 3898/871 is 8049370/13.