Least Common Multiple of 78/13, 509/60, 101/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/13, 509/60, 101/297 quickly i.e. 4009902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/13, 509/60, 101/297 is 4009902.

LCM(78/13, 509/60, 101/297) = 4009902

LCM of 78/13, 509/60, 101/297

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 78/13,509/60,101/297

Given numbers are 78/13,509/60,101/297

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 78,509,101

Least Common Multiple of Numerators i.e. LCM of 78,509,101 is 4009902.

GCF of Denominators means GCF of 13,60,297 as per the given fractions.

GCF of 13,60,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,509,101

LCM of Fractions 78/13,509/60,101/297 is 4009902

Given numbers has no common factors except 1. So, there LCM is their product i.e 4009902

Least Common Multiple of 78,509,101 with GCF Formula

Least Common Multiple of 78,509,101 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 78,509,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,509,101) = 1

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

GCF(78,509,101) x common factors =1 x 1 = 1

LCM(78,509,101) = ( 78 × 509 × 101 ) / 1

LCM(78,509,101) = 4009902 / 1

LCM(78,509,101) = 4009902


Lets's calculate GCF of 13,60,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4009902/1

Therefore the LCM of Fractions 78/13,509/60,101/297 is 4009902

Greatest Common Factor of 13,60,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,60,297 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 13,60,297 . The biggest common factor number is the GCF number.
So the greatest common factor 13,60,297 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 78/13, 509/60, 101/297

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 78/13, 509/60, 101/297?

Answer: LCM of Numerators as per given numbers 78/13, 509/60, 101/297 is

LCM of Numerators i.e. for 78,509,101 is 4009902

GCF of denominators i.e. for 13,60,297 is 1.

Thus, LCM of Fractions is 4009902.Finally, LCM of Fractions for 78/13, 509/60, 101/297 is 4009902.