Least Common Multiple of 54/506, 918/908, 315/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/506, 918/908, 315/164 quickly i.e. 16065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/506, 918/908, 315/164 is 16065.

LCM(54/506, 918/908, 315/164) = 16065

LCM of 54/506, 918/908, 315/164

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 54/506,918/908,315/164

Given numbers are 54/506,918/908,315/164

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 54,918,315

Least Common Multiple of Numerators i.e. LCM of 54,918,315 is 32130.

GCF of Denominators means GCF of 506,908,164 as per the given fractions.

GCF of 506,908,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,918,315

LCM of Fractions 54/506,918/908,315/164 is 16065

2 54, 918, 315
3 27, 459, 315
3 9, 153, 105
3 3, 51, 35
1, 17, 35

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 17 x 35 = 32130

Least Common Multiple of 54,918,315 with GCF Formula

Least Common Multiple of 54,918,315 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 54,918,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,918,315) = 9

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

GCF(54,918,315) x common factors =9 x 54 = 486

LCM(54,918,315) = ( 54 × 918 × 315 ) / 486

LCM(54,918,315) = 15615180 / 486

LCM(54,918,315) = 32130


Lets's calculate GCF of 506,908,164

2 506, 908, 164
253, 454, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32130/2

Therefore the LCM of Fractions 54/506,918/908,315/164 is 16065

Greatest Common Factor of 506,908,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,908,164 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 506,908,164 . The biggest common factor number is the GCF number.
So the greatest common factor 506,908,164 is 2.


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 54/506, 918/908, 315/164

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 54/506, 918/908, 315/164?

Answer: LCM of Numerators as per given numbers 54/506, 918/908, 315/164 is

LCM of Numerators i.e. for 54,918,315 is 32130

GCF of denominators i.e. for 506,908,164 is 2.

Thus, LCM of Fractions is 16065.Finally, LCM of Fractions for 54/506, 918/908, 315/164 is 16065.