Least Common Multiple of 77/41, 648/91, 723/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/41, 648/91, 723/283 quickly i.e. 12024936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/41, 648/91, 723/283 is 12024936.

LCM(77/41, 648/91, 723/283) = 12024936

LCM of 77/41, 648/91, 723/283

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 77/41,648/91,723/283

Given numbers are 77/41,648/91,723/283

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 77,648,723

Least Common Multiple of Numerators i.e. LCM of 77,648,723 is 12024936.

GCF of Denominators means GCF of 41,91,283 as per the given fractions.

GCF of 41,91,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,648,723

LCM of Fractions 77/41,648/91,723/283 is 12024936

3 77, 648, 723
77, 216, 241

∴ So the LCM of the given numbers is 3 x 77 x 216 x 241 = 12024936

Least Common Multiple of 77,648,723 with GCF Formula

Least Common Multiple of 77,648,723 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 77,648,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,648,723) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,648,723) x common factors =1 x 3 = 3

LCM(77,648,723) = ( 77 × 648 × 723 ) / 3

LCM(77,648,723) = 36074808 / 3

LCM(77,648,723) = 12024936


Lets's calculate GCF of 41,91,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12024936/1

Therefore the LCM of Fractions 77/41,648/91,723/283 is 12024936

Greatest Common Factor of 41,91,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,91,283 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 41,91,283 . The biggest common factor number is the GCF number.
So the greatest common factor 41,91,283 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 77/41, 648/91, 723/283

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 77/41, 648/91, 723/283?

Answer: LCM of Numerators as per given numbers 77/41, 648/91, 723/283 is

LCM of Numerators i.e. for 77,648,723 is 12024936

GCF of denominators i.e. for 41,91,283 is 1.

Thus, LCM of Fractions is 12024936.Finally, LCM of Fractions for 77/41, 648/91, 723/283 is 12024936.