Least Common Multiple of 79/78, 546/62, 819/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/78, 546/62, 819/762 quickly i.e. 64701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/78, 546/62, 819/762 is 64701.

LCM(79/78, 546/62, 819/762) = 64701

LCM of 79/78, 546/62, 819/762

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 79/78,546/62,819/762

Given numbers are 79/78,546/62,819/762

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 79,546,819

Least Common Multiple of Numerators i.e. LCM of 79,546,819 is 129402.

GCF of Denominators means GCF of 78,62,762 as per the given fractions.

GCF of 78,62,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,546,819

LCM of Fractions 79/78,546/62,819/762 is 64701

3 79, 546, 819
7 79, 182, 273
13 79, 26, 39
79, 2, 3

∴ So the LCM of the given numbers is 3 x 7 x 13 x 79 x 2 x 3 = 129402

Least Common Multiple of 79,546,819 with GCF Formula

Least Common Multiple of 79,546,819 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 79,546,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,546,819) = 1

common factors(in case of two or more numbers have common factors) = 273

GCF(79,546,819) x common factors =1 x 273 = 273

LCM(79,546,819) = ( 79 × 546 × 819 ) / 273

LCM(79,546,819) = 35326746 / 273

LCM(79,546,819) = 129402


Lets's calculate GCF of 78,62,762

2 78, 62, 762
39, 31, 381

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129402/2

Therefore the LCM of Fractions 79/78,546/62,819/762 is 64701

Greatest Common Factor of 78,62,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,62,762 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 78,62,762 . The biggest common factor number is the GCF number.
So the greatest common factor 78,62,762 is 2.


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 79/78, 546/62, 819/762

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 79/78, 546/62, 819/762?

Answer: LCM of Numerators as per given numbers 79/78, 546/62, 819/762 is

LCM of Numerators i.e. for 79,546,819 is 129402

GCF of denominators i.e. for 78,62,762 is 2.

Thus, LCM of Fractions is 64701.Finally, LCM of Fractions for 79/78, 546/62, 819/762 is 64701.