Least Common Multiple of 353/429, 273/269, 297/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 353/429, 273/269, 297/682 quickly i.e. 9540531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/429, 273/269, 297/682 is 9540531.

LCM(353/429, 273/269, 297/682) = 9540531

LCM of 353/429, 273/269, 297/682

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 353/429,273/269,297/682

Given numbers are 353/429,273/269,297/682

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 353,273,297

Least Common Multiple of Numerators i.e. LCM of 353,273,297 is 9540531.

GCF of Denominators means GCF of 429,269,682 as per the given fractions.

GCF of 429,269,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,273,297

LCM of Fractions 353/429,273/269,297/682 is 9540531

3 353, 273, 297
353, 91, 99

∴ So the LCM of the given numbers is 3 x 353 x 91 x 99 = 9540531

Least Common Multiple of 353,273,297 with GCF Formula

Least Common Multiple of 353,273,297 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 353,273,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,273,297) = 1

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

GCF(353,273,297) x common factors =1 x 3 = 3

LCM(353,273,297) = ( 353 × 273 × 297 ) / 3

LCM(353,273,297) = 28621593 / 3

LCM(353,273,297) = 9540531


Lets's calculate GCF of 429,269,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9540531/1

Therefore the LCM of Fractions 353/429,273/269,297/682 is 9540531

Greatest Common Factor of 429,269,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,269,682 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 429,269,682 . The biggest common factor number is the GCF number.
So the greatest common factor 429,269,682 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 353/429, 273/269, 297/682

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 353/429, 273/269, 297/682?

Answer: LCM of Numerators as per given numbers 353/429, 273/269, 297/682 is

LCM of Numerators i.e. for 353,273,297 is 9540531

GCF of denominators i.e. for 429,269,682 is 1.

Thus, LCM of Fractions is 9540531.Finally, LCM of Fractions for 353/429, 273/269, 297/682 is 9540531.