Least Common Multiple of 126/11, 688/82, 729/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/11, 688/82, 729/338 quickly i.e. 3510864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/11, 688/82, 729/338 is 3510864.

LCM(126/11, 688/82, 729/338) = 3510864

LCM of 126/11, 688/82, 729/338

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 126/11,688/82,729/338

Given numbers are 126/11,688/82,729/338

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 126,688,729

Least Common Multiple of Numerators i.e. LCM of 126,688,729 is 3510864.

GCF of Denominators means GCF of 11,82,338 as per the given fractions.

GCF of 11,82,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,688,729

LCM of Fractions 126/11,688/82,729/338 is 3510864

2 126, 688, 729
3 63, 344, 729
3 21, 344, 243
7, 344, 81

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 344 x 81 = 3510864

Least Common Multiple of 126,688,729 with GCF Formula

Least Common Multiple of 126,688,729 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 126,688,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,688,729) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(126,688,729) x common factors =1 x 18 = 18

LCM(126,688,729) = ( 126 × 688 × 729 ) / 18

LCM(126,688,729) = 63195552 / 18

LCM(126,688,729) = 3510864


Lets's calculate GCF of 11,82,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3510864/1

Therefore the LCM of Fractions 126/11,688/82,729/338 is 3510864

Greatest Common Factor of 11,82,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,82,338 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 11,82,338 . The biggest common factor number is the GCF number.
So the greatest common factor 11,82,338 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 126/11, 688/82, 729/338

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 126/11, 688/82, 729/338?

Answer: LCM of Numerators as per given numbers 126/11, 688/82, 729/338 is

LCM of Numerators i.e. for 126,688,729 is 3510864

GCF of denominators i.e. for 11,82,338 is 1.

Thus, LCM of Fractions is 3510864.Finally, LCM of Fractions for 126/11, 688/82, 729/338 is 3510864.