Least Common Multiple of 9877/142, 7181/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9877/142, 7181/565 quickly i.e. 70926737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9877/142, 7181/565 is 70926737.

LCM(9877/142, 7181/565) = 70926737

LCM of 9877/142, 7181/565

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 9877/142,7181/565

Given numbers are 9877/142,7181/565

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 9877,7181

Least Common Multiple of Numerators i.e. LCM of 9877,7181 is 70926737.

GCF of Denominators means GCF of 142,565 as per the given fractions.

GCF of 142,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9877,7181

LCM of Fractions 9877/142,7181/565 is 70926737

Given numbers has no common factors except 1. So, there LCM is their product i.e 70926737

Least Common Multiple of 9877,7181 with GCF Formula

Least Common Multiple of 9877,7181 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 9877,7181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9877,7181) = 1

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

GCF(9877,7181) x common factors =1 x 1 = 1

LCM(9877,7181) = ( 9877 × 7181 ) / 1

LCM(9877,7181) = 70926737 / 1

LCM(9877,7181) = 70926737


Lets's calculate GCF of 142,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70926737/1

Therefore the LCM of Fractions 9877/142,7181/565 is 70926737

Greatest Common Factor of 142,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,565 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 142,565 . The biggest common factor number is the GCF number.
So the greatest common factor 142,565 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 9877/142, 7181/565

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 9877/142, 7181/565?

Answer: LCM of Numerators as per given numbers 9877/142, 7181/565 is

LCM of Numerators i.e. for 9877,7181 is 70926737

GCF of denominators i.e. for 142,565 is 1.

Thus, LCM of Fractions is 70926737.Finally, LCM of Fractions for 9877/142, 7181/565 is 70926737.