Least Common Multiple of 78/744, 55/595, 706/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/744, 55/595, 706/246 quickly i.e. 1514370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/744, 55/595, 706/246 is 1514370.

LCM(78/744, 55/595, 706/246) = 1514370

LCM of 78/744, 55/595, 706/246

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 78/744,55/595,706/246

Given numbers are 78/744,55/595,706/246

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 78,55,706

Least Common Multiple of Numerators i.e. LCM of 78,55,706 is 1514370.

GCF of Denominators means GCF of 744,595,246 as per the given fractions.

GCF of 744,595,246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,55,706

LCM of Fractions 78/744,55/595,706/246 is 1514370

2 78, 55, 706
39, 55, 353

∴ So the LCM of the given numbers is 2 x 39 x 55 x 353 = 1514370

Least Common Multiple of 78,55,706 with GCF Formula

Least Common Multiple of 78,55,706 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 78,55,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,55,706) = 1

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

GCF(78,55,706) x common factors =1 x 2 = 2

LCM(78,55,706) = ( 78 × 55 × 706 ) / 2

LCM(78,55,706) = 3028740 / 2

LCM(78,55,706) = 1514370


Lets's calculate GCF of 744,595,246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1514370/1

Therefore the LCM of Fractions 78/744,55/595,706/246 is 1514370

Greatest Common Factor of 744,595,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,595,246 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 744,595,246 . The biggest common factor number is the GCF number.
So the greatest common factor 744,595,246 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 78/744, 55/595, 706/246

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 78/744, 55/595, 706/246?

Answer: LCM of Numerators as per given numbers 78/744, 55/595, 706/246 is

LCM of Numerators i.e. for 78,55,706 is 1514370

GCF of denominators i.e. for 744,595,246 is 1.

Thus, LCM of Fractions is 1514370.Finally, LCM of Fractions for 78/744, 55/595, 706/246 is 1514370.