Least Common Multiple of 120/88, 252/8745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/88, 252/8745 quickly i.e. 2520/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/88, 252/8745 is 2520/11.

LCM(120/88, 252/8745) = 2520/11

LCM of 120/88, 252/8745

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 120/88,252/8745

Given numbers are 120/88,252/8745

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 120,252

Least Common Multiple of Numerators i.e. LCM of 120,252 is 2520.

GCF of Denominators means GCF of 88,8745 as per the given fractions.

GCF of 88,8745 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,252

LCM of Fractions 120/88,252/8745 is 2520/11

2 120, 252
2 60, 126
3 30, 63
10, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 21 = 2520

Least Common Multiple of 120,252 with GCF Formula

Least Common Multiple of 120,252 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 120,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,252) = 12

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

GCF(120,252) x common factors =12 x 1 = 12

LCM(120,252) = ( 120 × 252 ) / 12

LCM(120,252) = 30240 / 12

LCM(120,252) = 2520


Lets's calculate GCF of 88,8745

11 88, 8745
8, 795

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/11

Therefore the LCM of Fractions 120/88,252/8745 is 2520/11

Greatest Common Factor of 88,8745 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,8745 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745

Greatest Common Factor

We found the factors 88,8745 . The biggest common factor number is the GCF number.
So the greatest common factor 88,8745 is 11.


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 120/88, 252/8745

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 120/88, 252/8745?

Answer: LCM of Numerators as per given numbers 120/88, 252/8745 is

LCM of Numerators i.e. for 120,252 is 2520

GCF of denominators i.e. for 88,8745 is 11.

Thus, LCM of Fractions is 2520/11.Finally, LCM of Fractions for 120/88, 252/8745 is 2520/11.