Least Common Multiple of 54/609, 546/807, 368/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/609, 546/807, 368/138 quickly i.e. 301392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/609, 546/807, 368/138 is 301392.

LCM(54/609, 546/807, 368/138) = 301392

LCM of 54/609, 546/807, 368/138

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 54/609,546/807,368/138

Given numbers are 54/609,546/807,368/138

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 54,546,368

Least Common Multiple of Numerators i.e. LCM of 54,546,368 is 904176.

GCF of Denominators means GCF of 609,807,138 as per the given fractions.

GCF of 609,807,138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,546,368

LCM of Fractions 54/609,546/807,368/138 is 301392

2 54, 546, 368
3 27, 273, 184
9, 91, 184

∴ So the LCM of the given numbers is 2 x 3 x 9 x 91 x 184 = 904176

Least Common Multiple of 54,546,368 with GCF Formula

Least Common Multiple of 54,546,368 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 54,546,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,546,368) = 2

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

GCF(54,546,368) x common factors =2 x 6 = 12

LCM(54,546,368) = ( 54 × 546 × 368 ) / 12

LCM(54,546,368) = 10850112 / 12

LCM(54,546,368) = 904176


Lets's calculate GCF of 609,807,138

3 609, 807, 138
203, 269, 46

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 904176/3

Therefore the LCM of Fractions 54/609,546/807,368/138 is 301392

Greatest Common Factor of 609,807,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,807,138 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 609,807,138 . The biggest common factor number is the GCF number.
So the greatest common factor 609,807,138 is 3.


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 54/609, 546/807, 368/138

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 54/609, 546/807, 368/138?

Answer: LCM of Numerators as per given numbers 54/609, 546/807, 368/138 is

LCM of Numerators i.e. for 54,546,368 is 904176

GCF of denominators i.e. for 609,807,138 is 3.

Thus, LCM of Fractions is 301392.Finally, LCM of Fractions for 54/609, 546/807, 368/138 is 301392.