Least Common Multiple of 504/14, 607/26, 710/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/14, 607/26, 710/554 quickly i.e. 54302220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/14, 607/26, 710/554 is 54302220.

LCM(504/14, 607/26, 710/554) = 54302220

LCM of 504/14, 607/26, 710/554

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 504/14,607/26,710/554

Given numbers are 504/14,607/26,710/554

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 504,607,710

Least Common Multiple of Numerators i.e. LCM of 504,607,710 is 108604440.

GCF of Denominators means GCF of 14,26,554 as per the given fractions.

GCF of 14,26,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,607,710

LCM of Fractions 504/14,607/26,710/554 is 54302220

2 504, 607, 710
252, 607, 355

∴ So the LCM of the given numbers is 2 x 252 x 607 x 355 = 108604440

Least Common Multiple of 504,607,710 with GCF Formula

Least Common Multiple of 504,607,710 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 504,607,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,607,710) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(504,607,710) x common factors =1 x 2 = 2

LCM(504,607,710) = ( 504 × 607 × 710 ) / 2

LCM(504,607,710) = 217208880 / 2

LCM(504,607,710) = 108604440


Lets's calculate GCF of 14,26,554

2 14, 26, 554
7, 13, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108604440/2

Therefore the LCM of Fractions 504/14,607/26,710/554 is 54302220

Greatest Common Factor of 14,26,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,26,554 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 26

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

1,2,13,26

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 14,26,554 . The biggest common factor number is the GCF number.
So the greatest common factor 14,26,554 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 504/14, 607/26, 710/554

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 504/14, 607/26, 710/554?

Answer: LCM of Numerators as per given numbers 504/14, 607/26, 710/554 is

LCM of Numerators i.e. for 504,607,710 is 108604440

GCF of denominators i.e. for 14,26,554 is 2.

Thus, LCM of Fractions is 54302220.Finally, LCM of Fractions for 504/14, 607/26, 710/554 is 54302220.