Least Common Multiple of 54/902, 366/989, 162/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/902, 366/989, 162/130 quickly i.e. 9882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/902, 366/989, 162/130 is 9882.

LCM(54/902, 366/989, 162/130) = 9882

LCM of 54/902, 366/989, 162/130

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 54/902,366/989,162/130

Given numbers are 54/902,366/989,162/130

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 54,366,162

Least Common Multiple of Numerators i.e. LCM of 54,366,162 is 9882.

GCF of Denominators means GCF of 902,989,130 as per the given fractions.

GCF of 902,989,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,366,162

LCM of Fractions 54/902,366/989,162/130 is 9882

2 54, 366, 162
3 27, 183, 81
3 9, 61, 27
3 3, 61, 9
1, 61, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 61 x 3 = 9882

Least Common Multiple of 54,366,162 with GCF Formula

Least Common Multiple of 54,366,162 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 54,366,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,366,162) = 6

common factors(in case of two or more numbers have common factors) = 54

GCF(54,366,162) x common factors =6 x 54 = 324

LCM(54,366,162) = ( 54 × 366 × 162 ) / 324

LCM(54,366,162) = 3201768 / 324

LCM(54,366,162) = 9882


Lets's calculate GCF of 902,989,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9882/1

Therefore the LCM of Fractions 54/902,366/989,162/130 is 9882

Greatest Common Factor of 902,989,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,989,130 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 902,989,130 . The biggest common factor number is the GCF number.
So the greatest common factor 902,989,130 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 54/902, 366/989, 162/130

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 54/902, 366/989, 162/130?

Answer: LCM of Numerators as per given numbers 54/902, 366/989, 162/130 is

LCM of Numerators i.e. for 54,366,162 is 9882

GCF of denominators i.e. for 902,989,130 is 1.

Thus, LCM of Fractions is 9882.Finally, LCM of Fractions for 54/902, 366/989, 162/130 is 9882.