Least Common Multiple of 852/165, 9877/7100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/165, 9877/7100 quickly i.e. 8415204/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/165, 9877/7100 is 8415204/5.

LCM(852/165, 9877/7100) = 8415204/5

LCM of 852/165, 9877/7100

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 852/165,9877/7100

Given numbers are 852/165,9877/7100

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 852,9877

Least Common Multiple of Numerators i.e. LCM of 852,9877 is 8415204.

GCF of Denominators means GCF of 165,7100 as per the given fractions.

GCF of 165,7100 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,9877

LCM of Fractions 852/165,9877/7100 is 8415204/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 8415204

Least Common Multiple of 852,9877 with GCF Formula

Least Common Multiple of 852,9877 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 852,9877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,9877) = 1

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

GCF(852,9877) x common factors =1 x 1 = 1

LCM(852,9877) = ( 852 × 9877 ) / 1

LCM(852,9877) = 8415204 / 1

LCM(852,9877) = 8415204


Lets's calculate GCF of 165,7100

5 165, 7100
33, 1420

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8415204/5

Therefore the LCM of Fractions 852/165,9877/7100 is 8415204/5

Greatest Common Factor of 165,7100 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,7100 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100

Greatest Common Factor

We found the factors 165,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 165,7100 is 5.


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 852/165, 9877/7100

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 852/165, 9877/7100?

Answer: LCM of Numerators as per given numbers 852/165, 9877/7100 is

LCM of Numerators i.e. for 852,9877 is 8415204

GCF of denominators i.e. for 165,7100 is 5.

Thus, LCM of Fractions is 8415204/5.Finally, LCM of Fractions for 852/165, 9877/7100 is 8415204/5.