Least Common Multiple of 92/72, 627/60, 270/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/72, 627/60, 270/882 quickly i.e. 432630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/72, 627/60, 270/882 is 432630.

LCM(92/72, 627/60, 270/882) = 432630

LCM of 92/72, 627/60, 270/882

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 92/72,627/60,270/882

Given numbers are 92/72,627/60,270/882

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 92,627,270

Least Common Multiple of Numerators i.e. LCM of 92,627,270 is 2595780.

GCF of Denominators means GCF of 72,60,882 as per the given fractions.

GCF of 72,60,882 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,627,270

LCM of Fractions 92/72,627/60,270/882 is 432630

2 92, 627, 270
3 46, 627, 135
46, 209, 45

∴ So the LCM of the given numbers is 2 x 3 x 46 x 209 x 45 = 2595780

Least Common Multiple of 92,627,270 with GCF Formula

Least Common Multiple of 92,627,270 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 92,627,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,627,270) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(92,627,270) x common factors =1 x 6 = 6

LCM(92,627,270) = ( 92 × 627 × 270 ) / 6

LCM(92,627,270) = 15574680 / 6

LCM(92,627,270) = 2595780


Lets's calculate GCF of 72,60,882

2 72, 60, 882
3 36, 30, 441
12, 10, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2595780/6

Therefore the LCM of Fractions 92/72,627/60,270/882 is 432630

Greatest Common Factor of 72,60,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,60,882 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 72,60,882 . The biggest common factor number is the GCF number.
So the greatest common factor 72,60,882 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 92/72, 627/60, 270/882

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 92/72, 627/60, 270/882?

Answer: LCM of Numerators as per given numbers 92/72, 627/60, 270/882 is

LCM of Numerators i.e. for 92,627,270 is 2595780

GCF of denominators i.e. for 72,60,882 is 6.

Thus, LCM of Fractions is 432630.Finally, LCM of Fractions for 92/72, 627/60, 270/882 is 432630.