Least Common Multiple of 73/24, 788/77, 829/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/24, 788/77, 829/656 quickly i.e. 47687396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/24, 788/77, 829/656 is 47687396.

LCM(73/24, 788/77, 829/656) = 47687396

LCM of 73/24, 788/77, 829/656

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 73/24,788/77,829/656

Given numbers are 73/24,788/77,829/656

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 73,788,829

Least Common Multiple of Numerators i.e. LCM of 73,788,829 is 47687396.

GCF of Denominators means GCF of 24,77,656 as per the given fractions.

GCF of 24,77,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,788,829

LCM of Fractions 73/24,788/77,829/656 is 47687396

Given numbers has no common factors except 1. So, there LCM is their product i.e 47687396

Least Common Multiple of 73,788,829 with GCF Formula

Least Common Multiple of 73,788,829 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 73,788,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,788,829) = 1

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

GCF(73,788,829) x common factors =1 x 1 = 1

LCM(73,788,829) = ( 73 × 788 × 829 ) / 1

LCM(73,788,829) = 47687396 / 1

LCM(73,788,829) = 47687396


Lets's calculate GCF of 24,77,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47687396/1

Therefore the LCM of Fractions 73/24,788/77,829/656 is 47687396

Greatest Common Factor of 24,77,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,77,656 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 77

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

1,7,11,77

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 24,77,656 . The biggest common factor number is the GCF number.
So the greatest common factor 24,77,656 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 73/24, 788/77, 829/656

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 73/24, 788/77, 829/656?

Answer: LCM of Numerators as per given numbers 73/24, 788/77, 829/656 is

LCM of Numerators i.e. for 73,788,829 is 47687396

GCF of denominators i.e. for 24,77,656 is 1.

Thus, LCM of Fractions is 47687396.Finally, LCM of Fractions for 73/24, 788/77, 829/656 is 47687396.