Least Common Multiple of 292/13, 829/91, 266/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/13, 829/91, 266/649 quickly i.e. 32195044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/13, 829/91, 266/649 is 32195044.

LCM(292/13, 829/91, 266/649) = 32195044

LCM of 292/13, 829/91, 266/649

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 292/13,829/91,266/649

Given numbers are 292/13,829/91,266/649

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 292,829,266

Least Common Multiple of Numerators i.e. LCM of 292,829,266 is 32195044.

GCF of Denominators means GCF of 13,91,649 as per the given fractions.

GCF of 13,91,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,829,266

LCM of Fractions 292/13,829/91,266/649 is 32195044

2 292, 829, 266
146, 829, 133

∴ So the LCM of the given numbers is 2 x 146 x 829 x 133 = 32195044

Least Common Multiple of 292,829,266 with GCF Formula

Least Common Multiple of 292,829,266 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 292,829,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,829,266) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(292,829,266) x common factors =1 x 2 = 2

LCM(292,829,266) = ( 292 × 829 × 266 ) / 2

LCM(292,829,266) = 64390088 / 2

LCM(292,829,266) = 32195044


Lets's calculate GCF of 13,91,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32195044/1

Therefore the LCM of Fractions 292/13,829/91,266/649 is 32195044

Greatest Common Factor of 13,91,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,91,649 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 91

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

1,7,13,91

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 13,91,649 . The biggest common factor number is the GCF number.
So the greatest common factor 13,91,649 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 292/13, 829/91, 266/649

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 292/13, 829/91, 266/649?

Answer: LCM of Numerators as per given numbers 292/13, 829/91, 266/649 is

LCM of Numerators i.e. for 292,829,266 is 32195044

GCF of denominators i.e. for 13,91,649 is 1.

Thus, LCM of Fractions is 32195044.Finally, LCM of Fractions for 292/13, 829/91, 266/649 is 32195044.