Least Common Multiple of 253/14, 337/13, 509/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/14, 337/13, 509/78 quickly i.e. 43397849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/14, 337/13, 509/78 is 43397849.

LCM(253/14, 337/13, 509/78) = 43397849

LCM of 253/14, 337/13, 509/78

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 253/14,337/13,509/78

Given numbers are 253/14,337/13,509/78

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 253,337,509

Least Common Multiple of Numerators i.e. LCM of 253,337,509 is 43397849.

GCF of Denominators means GCF of 14,13,78 as per the given fractions.

GCF of 14,13,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,337,509

LCM of Fractions 253/14,337/13,509/78 is 43397849

Given numbers has no common factors except 1. So, there LCM is their product i.e 43397849

Least Common Multiple of 253,337,509 with GCF Formula

Least Common Multiple of 253,337,509 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 253,337,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,337,509) = 1

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

GCF(253,337,509) x common factors =1 x 1 = 1

LCM(253,337,509) = ( 253 × 337 × 509 ) / 1

LCM(253,337,509) = 43397849 / 1

LCM(253,337,509) = 43397849


Lets's calculate GCF of 14,13,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43397849/1

Therefore the LCM of Fractions 253/14,337/13,509/78 is 43397849

Greatest Common Factor of 14,13,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,13,78 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 14,13,78 . The biggest common factor number is the GCF number.
So the greatest common factor 14,13,78 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 253/14, 337/13, 509/78

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 253/14, 337/13, 509/78?

Answer: LCM of Numerators as per given numbers 253/14, 337/13, 509/78 is

LCM of Numerators i.e. for 253,337,509 is 43397849

GCF of denominators i.e. for 14,13,78 is 1.

Thus, LCM of Fractions is 43397849.Finally, LCM of Fractions for 253/14, 337/13, 509/78 is 43397849.