Least Common Multiple of 78/13, 688/13, 740/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/13, 688/13, 740/463 quickly i.e. 4963920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/13, 688/13, 740/463 is 4963920.

LCM(78/13, 688/13, 740/463) = 4963920

LCM of 78/13, 688/13, 740/463

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 78/13,688/13,740/463

Given numbers are 78/13,688/13,740/463

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 78,688,740

Least Common Multiple of Numerators i.e. LCM of 78,688,740 is 4963920.

GCF of Denominators means GCF of 13,13,463 as per the given fractions.

GCF of 13,13,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,688,740

LCM of Fractions 78/13,688/13,740/463 is 4963920

2 78, 688, 740
2 39, 344, 370
39, 172, 185

∴ So the LCM of the given numbers is 2 x 2 x 39 x 172 x 185 = 4963920

Least Common Multiple of 78,688,740 with GCF Formula

Least Common Multiple of 78,688,740 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 78,688,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,688,740) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(78,688,740) x common factors =2 x 4 = 8

LCM(78,688,740) = ( 78 × 688 × 740 ) / 8

LCM(78,688,740) = 39711360 / 8

LCM(78,688,740) = 4963920


Lets's calculate GCF of 13,13,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4963920/1

Therefore the LCM of Fractions 78/13,688/13,740/463 is 4963920

Greatest Common Factor of 13,13,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,13,463 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 13,13,463 . The biggest common factor number is the GCF number.
So the greatest common factor 13,13,463 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 78/13, 688/13, 740/463

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 78/13, 688/13, 740/463?

Answer: LCM of Numerators as per given numbers 78/13, 688/13, 740/463 is

LCM of Numerators i.e. for 78,688,740 is 4963920

GCF of denominators i.e. for 13,13,463 is 1.

Thus, LCM of Fractions is 4963920.Finally, LCM of Fractions for 78/13, 688/13, 740/463 is 4963920.