Least Common Multiple of 60/477, 82/727, 902/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/477, 82/727, 902/440 quickly i.e. 27060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/477, 82/727, 902/440 is 27060.

LCM(60/477, 82/727, 902/440) = 27060

LCM of 60/477, 82/727, 902/440

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 60/477,82/727,902/440

Given numbers are 60/477,82/727,902/440

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 60,82,902

Least Common Multiple of Numerators i.e. LCM of 60,82,902 is 27060.

GCF of Denominators means GCF of 477,727,440 as per the given fractions.

GCF of 477,727,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,82,902

LCM of Fractions 60/477,82/727,902/440 is 27060

2 60, 82, 902
41 30, 41, 451
30, 1, 11

∴ So the LCM of the given numbers is 2 x 41 x 30 x 1 x 11 = 27060

Least Common Multiple of 60,82,902 with GCF Formula

Least Common Multiple of 60,82,902 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 60,82,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,82,902) = 2

common factors(in case of two or more numbers have common factors) = 82

GCF(60,82,902) x common factors =2 x 82 = 164

LCM(60,82,902) = ( 60 × 82 × 902 ) / 164

LCM(60,82,902) = 4437840 / 164

LCM(60,82,902) = 27060


Lets's calculate GCF of 477,727,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27060/1

Therefore the LCM of Fractions 60/477,82/727,902/440 is 27060

Greatest Common Factor of 477,727,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,727,440 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 477,727,440 . The biggest common factor number is the GCF number.
So the greatest common factor 477,727,440 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 60/477, 82/727, 902/440

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 60/477, 82/727, 902/440?

Answer: LCM of Numerators as per given numbers 60/477, 82/727, 902/440 is

LCM of Numerators i.e. for 60,82,902 is 27060

GCF of denominators i.e. for 477,727,440 is 1.

Thus, LCM of Fractions is 27060.Finally, LCM of Fractions for 60/477, 82/727, 902/440 is 27060.