Least Common Multiple of 78/37, 943/26, 517/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/37, 943/26, 517/361 quickly i.e. 38027418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/37, 943/26, 517/361 is 38027418.

LCM(78/37, 943/26, 517/361) = 38027418

LCM of 78/37, 943/26, 517/361

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 78/37,943/26,517/361

Given numbers are 78/37,943/26,517/361

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 78,943,517

Least Common Multiple of Numerators i.e. LCM of 78,943,517 is 38027418.

GCF of Denominators means GCF of 37,26,361 as per the given fractions.

GCF of 37,26,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,943,517

LCM of Fractions 78/37,943/26,517/361 is 38027418

Given numbers has no common factors except 1. So, there LCM is their product i.e 38027418

Least Common Multiple of 78,943,517 with GCF Formula

Least Common Multiple of 78,943,517 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 78,943,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,943,517) = 1

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

GCF(78,943,517) x common factors =1 x 1 = 1

LCM(78,943,517) = ( 78 × 943 × 517 ) / 1

LCM(78,943,517) = 38027418 / 1

LCM(78,943,517) = 38027418


Lets's calculate GCF of 37,26,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38027418/1

Therefore the LCM of Fractions 78/37,943/26,517/361 is 38027418

Greatest Common Factor of 37,26,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,26,361 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 26

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

1,2,13,26

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 37,26,361 . The biggest common factor number is the GCF number.
So the greatest common factor 37,26,361 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 78/37, 943/26, 517/361

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 78/37, 943/26, 517/361?

Answer: LCM of Numerators as per given numbers 78/37, 943/26, 517/361 is

LCM of Numerators i.e. for 78,943,517 is 38027418

GCF of denominators i.e. for 37,26,361 is 1.

Thus, LCM of Fractions is 38027418.Finally, LCM of Fractions for 78/37, 943/26, 517/361 is 38027418.