Least Common Multiple of 793/54, 662/77, 413/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 793/54, 662/77, 413/576 quickly i.e. 216810958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 793/54, 662/77, 413/576 is 216810958.

LCM(793/54, 662/77, 413/576) = 216810958

LCM of 793/54, 662/77, 413/576

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 793/54,662/77,413/576

Given numbers are 793/54,662/77,413/576

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 793,662,413

Least Common Multiple of Numerators i.e. LCM of 793,662,413 is 216810958.

GCF of Denominators means GCF of 54,77,576 as per the given fractions.

GCF of 54,77,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 793,662,413

LCM of Fractions 793/54,662/77,413/576 is 216810958

Given numbers has no common factors except 1. So, there LCM is their product i.e 216810958

Least Common Multiple of 793,662,413 with GCF Formula

Least Common Multiple of 793,662,413 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 793,662,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,662,413) = 1

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

GCF(793,662,413) x common factors =1 x 1 = 1

LCM(793,662,413) = ( 793 × 662 × 413 ) / 1

LCM(793,662,413) = 216810958 / 1

LCM(793,662,413) = 216810958


Lets's calculate GCF of 54,77,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216810958/1

Therefore the LCM of Fractions 793/54,662/77,413/576 is 216810958

Greatest Common Factor of 54,77,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,77,576 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 77

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

1,7,11,77

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 54,77,576 . The biggest common factor number is the GCF number.
So the greatest common factor 54,77,576 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 793/54, 662/77, 413/576

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 793/54, 662/77, 413/576?

Answer: LCM of Numerators as per given numbers 793/54, 662/77, 413/576 is

LCM of Numerators i.e. for 793,662,413 is 216810958

GCF of denominators i.e. for 54,77,576 is 1.

Thus, LCM of Fractions is 216810958.Finally, LCM of Fractions for 793/54, 662/77, 413/576 is 216810958.