Least Common Multiple of 6989/901, 8371/6051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6989/901, 8371/6051 quickly i.e. 58504919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6989/901, 8371/6051 is 58504919.

LCM(6989/901, 8371/6051) = 58504919

LCM of 6989/901, 8371/6051

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 6989/901,8371/6051

Given numbers are 6989/901,8371/6051

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 6989,8371

Least Common Multiple of Numerators i.e. LCM of 6989,8371 is 58504919.

GCF of Denominators means GCF of 901,6051 as per the given fractions.

GCF of 901,6051 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6989,8371

LCM of Fractions 6989/901,8371/6051 is 58504919

Given numbers has no common factors except 1. So, there LCM is their product i.e 58504919

Least Common Multiple of 6989,8371 with GCF Formula

Least Common Multiple of 6989,8371 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 6989,8371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6989,8371) = 1

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

GCF(6989,8371) x common factors =1 x 1 = 1

LCM(6989,8371) = ( 6989 × 8371 ) / 1

LCM(6989,8371) = 58504919 / 1

LCM(6989,8371) = 58504919


Lets's calculate GCF of 901,6051

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58504919/1

Therefore the LCM of Fractions 6989/901,8371/6051 is 58504919

Greatest Common Factor of 901,6051 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,6051 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 6051

List of positive integer factors of 6051 that divides 6051 without a remainder.

1,3,2017,6051

Greatest Common Factor

We found the factors 901,6051 . The biggest common factor number is the GCF number.
So the greatest common factor 901,6051 is 1.


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 6989/901, 8371/6051

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 6989/901, 8371/6051?

Answer: LCM of Numerators as per given numbers 6989/901, 8371/6051 is

LCM of Numerators i.e. for 6989,8371 is 58504919

GCF of denominators i.e. for 901,6051 is 1.

Thus, LCM of Fractions is 58504919.Finally, LCM of Fractions for 6989/901, 8371/6051 is 58504919.