Least Common Multiple of 8754/270, 4592/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8754/270, 4592/372 quickly i.e. 3349864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8754/270, 4592/372 is 3349864.

LCM(8754/270, 4592/372) = 3349864

LCM of 8754/270, 4592/372

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 8754/270,4592/372

Given numbers are 8754/270,4592/372

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 8754,4592

Least Common Multiple of Numerators i.e. LCM of 8754,4592 is 20099184.

GCF of Denominators means GCF of 270,372 as per the given fractions.

GCF of 270,372 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8754,4592

LCM of Fractions 8754/270,4592/372 is 3349864

2 8754, 4592
4377, 2296

∴ So the LCM of the given numbers is 2 x 4377 x 2296 = 20099184

Least Common Multiple of 8754,4592 with GCF Formula

Least Common Multiple of 8754,4592 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 8754,4592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8754,4592) = 2

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

GCF(8754,4592) x common factors =2 x 1 = 2

LCM(8754,4592) = ( 8754 × 4592 ) / 2

LCM(8754,4592) = 40198368 / 2

LCM(8754,4592) = 20099184


Lets's calculate GCF of 270,372

2 270, 372
3 135, 186
45, 62

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20099184/6

Therefore the LCM of Fractions 8754/270,4592/372 is 3349864

Greatest Common Factor of 270,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,372 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 270,372 . The biggest common factor number is the GCF number.
So the greatest common factor 270,372 is 6.


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 8754/270, 4592/372

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 8754/270, 4592/372?

Answer: LCM of Numerators as per given numbers 8754/270, 4592/372 is

LCM of Numerators i.e. for 8754,4592 is 20099184

GCF of denominators i.e. for 270,372 is 6.

Thus, LCM of Fractions is 3349864.Finally, LCM of Fractions for 8754/270, 4592/372 is 3349864.