Least Common Multiple of 156/54, 648/9982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 156/54, 648/9982 quickly i.e. 4212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/54, 648/9982 is 4212.

LCM(156/54, 648/9982) = 4212

LCM of 156/54, 648/9982

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 156/54,648/9982

Given numbers are 156/54,648/9982

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 156,648

Least Common Multiple of Numerators i.e. LCM of 156,648 is 8424.

GCF of Denominators means GCF of 54,9982 as per the given fractions.

GCF of 54,9982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,648

LCM of Fractions 156/54,648/9982 is 4212

2 156, 648
2 78, 324
3 39, 162
13, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 54 = 8424

Least Common Multiple of 156,648 with GCF Formula

Least Common Multiple of 156,648 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 156,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,648) = 12

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

GCF(156,648) x common factors =12 x 1 = 12

LCM(156,648) = ( 156 × 648 ) / 12

LCM(156,648) = 101088 / 12

LCM(156,648) = 8424


Lets's calculate GCF of 54,9982

2 54, 9982
27, 4991

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8424/2

Therefore the LCM of Fractions 156/54,648/9982 is 4212

Greatest Common Factor of 54,9982 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9982 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Greatest Common Factor

We found the factors 54,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9982 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 156/54, 648/9982

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 156/54, 648/9982?

Answer: LCM of Numerators as per given numbers 156/54, 648/9982 is

LCM of Numerators i.e. for 156,648 is 8424

GCF of denominators i.e. for 54,9982 is 2.

Thus, LCM of Fractions is 4212.Finally, LCM of Fractions for 156/54, 648/9982 is 4212.