Least Common Multiple of 695/515, 205/829, 424/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 695/515, 205/829, 424/326 quickly i.e. 12081880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/515, 205/829, 424/326 is 12081880.

LCM(695/515, 205/829, 424/326) = 12081880

LCM of 695/515, 205/829, 424/326

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 695/515,205/829,424/326

Given numbers are 695/515,205/829,424/326

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 695,205,424

Least Common Multiple of Numerators i.e. LCM of 695,205,424 is 12081880.

GCF of Denominators means GCF of 515,829,326 as per the given fractions.

GCF of 515,829,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,205,424

LCM of Fractions 695/515,205/829,424/326 is 12081880

5 695, 205, 424
139, 41, 424

∴ So the LCM of the given numbers is 5 x 139 x 41 x 424 = 12081880

Least Common Multiple of 695,205,424 with GCF Formula

Least Common Multiple of 695,205,424 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 695,205,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,205,424) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(695,205,424) x common factors =1 x 5 = 5

LCM(695,205,424) = ( 695 × 205 × 424 ) / 5

LCM(695,205,424) = 60409400 / 5

LCM(695,205,424) = 12081880


Lets's calculate GCF of 515,829,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12081880/1

Therefore the LCM of Fractions 695/515,205/829,424/326 is 12081880

Greatest Common Factor of 515,829,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,829,326 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 515,829,326 . The biggest common factor number is the GCF number.
So the greatest common factor 515,829,326 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 695/515, 205/829, 424/326

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 695/515, 205/829, 424/326?

Answer: LCM of Numerators as per given numbers 695/515, 205/829, 424/326 is

LCM of Numerators i.e. for 695,205,424 is 12081880

GCF of denominators i.e. for 515,829,326 is 1.

Thus, LCM of Fractions is 12081880.Finally, LCM of Fractions for 695/515, 205/829, 424/326 is 12081880.