Least Common Multiple of 772/55, 217/41, 497/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/55, 217/41, 497/146 quickly i.e. 11894204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/55, 217/41, 497/146 is 11894204.

LCM(772/55, 217/41, 497/146) = 11894204

LCM of 772/55, 217/41, 497/146

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 772/55,217/41,497/146

Given numbers are 772/55,217/41,497/146

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 772,217,497

Least Common Multiple of Numerators i.e. LCM of 772,217,497 is 11894204.

GCF of Denominators means GCF of 55,41,146 as per the given fractions.

GCF of 55,41,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,217,497

LCM of Fractions 772/55,217/41,497/146 is 11894204

7 772, 217, 497
772, 31, 71

∴ So the LCM of the given numbers is 7 x 772 x 31 x 71 = 11894204

Least Common Multiple of 772,217,497 with GCF Formula

Least Common Multiple of 772,217,497 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 772,217,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,217,497) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(772,217,497) x common factors =1 x 7 = 7

LCM(772,217,497) = ( 772 × 217 × 497 ) / 7

LCM(772,217,497) = 83259428 / 7

LCM(772,217,497) = 11894204


Lets's calculate GCF of 55,41,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11894204/1

Therefore the LCM of Fractions 772/55,217/41,497/146 is 11894204

Greatest Common Factor of 55,41,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,41,146 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 41

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

1,41

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 55,41,146 . The biggest common factor number is the GCF number.
So the greatest common factor 55,41,146 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 772/55, 217/41, 497/146

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 772/55, 217/41, 497/146?

Answer: LCM of Numerators as per given numbers 772/55, 217/41, 497/146 is

LCM of Numerators i.e. for 772,217,497 is 11894204

GCF of denominators i.e. for 55,41,146 is 1.

Thus, LCM of Fractions is 11894204.Finally, LCM of Fractions for 772/55, 217/41, 497/146 is 11894204.