Least Common Multiple of 78/47, 87/62, 29/77, 13/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/47, 87/62, 29/77, 13/743 quickly i.e. 2262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/47, 87/62, 29/77, 13/743 is 2262.

LCM(78/47, 87/62, 29/77, 13/743) = 2262

LCM of 78/47, 87/62, 29/77, 13/743

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 78/47,87/62,29/77,13/743

Given numbers are 78/47,87/62,29/77,13/743

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 78,87,29,13

Least Common Multiple of Numerators i.e. LCM of 78,87,29,13 is 2262.

GCF of Denominators means GCF of 47,62,77,743 as per the given fractions.

GCF of 47,62,77,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,87,29,13

LCM of Fractions 78/47,87/62,29/77,13/743 is 2262

3 78, 87, 29, 13
13 26, 29, 29, 13
29 2, 29, 29, 1
2, 1, 1, 1

∴ So the LCM of the given numbers is 3 x 13 x 29 x 2 x 1 x 1 x 1 = 2262

Least Common Multiple of 78,87,29,13 with GCF Formula

Least Common Multiple of 78,87,29,13 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 78,87,29,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,87,29,13) = 1

common factors(in case of two or more numbers have common factors) = 1131

GCF(78,87,29,13) x common factors =1 x 1131 = 1131

LCM(78,87,29,13) = ( 78 × 87 × 29 × 13 ) / 1131

LCM(78,87,29,13) = 2558322 / 1131

LCM(78,87,29,13) = 2262


Lets's calculate GCF of 47,62,77,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2262/1

Therefore the LCM of Fractions 78/47,87/62,29/77,13/743 is 2262

Greatest Common Factor of 47,62,77,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,62,77,743 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 62

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

1,2,31,62

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 47,62,77,743 . The biggest common factor number is the GCF number.
So the greatest common factor 47,62,77,743 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 78/47, 87/62, 29/77, 13/743

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 78/47, 87/62, 29/77, 13/743?

Answer: LCM of Numerators as per given numbers 78/47, 87/62, 29/77, 13/743 is

LCM of Numerators i.e. for 78,87,29,13 is 2262

GCF of denominators i.e. for 47,62,77,743 is 1.

Thus, LCM of Fractions is 2262.Finally, LCM of Fractions for 78/47, 87/62, 29/77, 13/743 is 2262.