Least Common Multiple of 79/820, 391/847, 978/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/820, 391/847, 978/649 quickly i.e. 30209442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/820, 391/847, 978/649 is 30209442.

LCM(79/820, 391/847, 978/649) = 30209442

LCM of 79/820, 391/847, 978/649

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 79/820,391/847,978/649

Given numbers are 79/820,391/847,978/649

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 79,391,978

Least Common Multiple of Numerators i.e. LCM of 79,391,978 is 30209442.

GCF of Denominators means GCF of 820,847,649 as per the given fractions.

GCF of 820,847,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,391,978

LCM of Fractions 79/820,391/847,978/649 is 30209442

Given numbers has no common factors except 1. So, there LCM is their product i.e 30209442

Least Common Multiple of 79,391,978 with GCF Formula

Least Common Multiple of 79,391,978 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 79,391,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,391,978) = 1

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

GCF(79,391,978) x common factors =1 x 1 = 1

LCM(79,391,978) = ( 79 × 391 × 978 ) / 1

LCM(79,391,978) = 30209442 / 1

LCM(79,391,978) = 30209442


Lets's calculate GCF of 820,847,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30209442/1

Therefore the LCM of Fractions 79/820,391/847,978/649 is 30209442

Greatest Common Factor of 820,847,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,847,649 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 820,847,649 . The biggest common factor number is the GCF number.
So the greatest common factor 820,847,649 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 79/820, 391/847, 978/649

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 79/820, 391/847, 978/649?

Answer: LCM of Numerators as per given numbers 79/820, 391/847, 978/649 is

LCM of Numerators i.e. for 79,391,978 is 30209442

GCF of denominators i.e. for 820,847,649 is 1.

Thus, LCM of Fractions is 30209442.Finally, LCM of Fractions for 79/820, 391/847, 978/649 is 30209442.