Least Common Multiple of 978/79, 738/12, 710/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/79, 738/12, 710/798 quickly i.e. 42704370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/79, 738/12, 710/798 is 42704370.

LCM(978/79, 738/12, 710/798) = 42704370

LCM of 978/79, 738/12, 710/798

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 978/79,738/12,710/798

Given numbers are 978/79,738/12,710/798

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 978,738,710

Least Common Multiple of Numerators i.e. LCM of 978,738,710 is 42704370.

GCF of Denominators means GCF of 79,12,798 as per the given fractions.

GCF of 79,12,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,738,710

LCM of Fractions 978/79,738/12,710/798 is 42704370

2 978, 738, 710
3 489, 369, 355
163, 123, 355

∴ So the LCM of the given numbers is 2 x 3 x 163 x 123 x 355 = 42704370

Least Common Multiple of 978,738,710 with GCF Formula

Least Common Multiple of 978,738,710 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 978,738,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,738,710) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(978,738,710) x common factors =2 x 6 = 12

LCM(978,738,710) = ( 978 × 738 × 710 ) / 12

LCM(978,738,710) = 512452440 / 12

LCM(978,738,710) = 42704370


Lets's calculate GCF of 79,12,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42704370/1

Therefore the LCM of Fractions 978/79,738/12,710/798 is 42704370

Greatest Common Factor of 79,12,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,12,798 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 79,12,798 . The biggest common factor number is the GCF number.
So the greatest common factor 79,12,798 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 978/79, 738/12, 710/798

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 978/79, 738/12, 710/798?

Answer: LCM of Numerators as per given numbers 978/79, 738/12, 710/798 is

LCM of Numerators i.e. for 978,738,710 is 42704370

GCF of denominators i.e. for 79,12,798 is 1.

Thus, LCM of Fractions is 42704370.Finally, LCM of Fractions for 978/79, 738/12, 710/798 is 42704370.