Least Common Multiple of 504/26, 254/73, 544/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/26, 254/73, 544/312 quickly i.e. 4352544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/26, 254/73, 544/312 is 4352544.

LCM(504/26, 254/73, 544/312) = 4352544

LCM of 504/26, 254/73, 544/312

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 504/26,254/73,544/312

Given numbers are 504/26,254/73,544/312

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 504,254,544

Least Common Multiple of Numerators i.e. LCM of 504,254,544 is 4352544.

GCF of Denominators means GCF of 26,73,312 as per the given fractions.

GCF of 26,73,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,254,544

LCM of Fractions 504/26,254/73,544/312 is 4352544

2 504, 254, 544
2 252, 127, 272
2 126, 127, 136
63, 127, 68

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 127 x 68 = 4352544

Least Common Multiple of 504,254,544 with GCF Formula

Least Common Multiple of 504,254,544 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 504,254,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,254,544) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(504,254,544) x common factors =2 x 8 = 16

LCM(504,254,544) = ( 504 × 254 × 544 ) / 16

LCM(504,254,544) = 69640704 / 16

LCM(504,254,544) = 4352544


Lets's calculate GCF of 26,73,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4352544/1

Therefore the LCM of Fractions 504/26,254/73,544/312 is 4352544

Greatest Common Factor of 26,73,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,73,312 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 26,73,312 . The biggest common factor number is the GCF number.
So the greatest common factor 26,73,312 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 504/26, 254/73, 544/312

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 504/26, 254/73, 544/312?

Answer: LCM of Numerators as per given numbers 504/26, 254/73, 544/312 is

LCM of Numerators i.e. for 504,254,544 is 4352544

GCF of denominators i.e. for 26,73,312 is 1.

Thus, LCM of Fractions is 4352544.Finally, LCM of Fractions for 504/26, 254/73, 544/312 is 4352544.