Least Common Multiple of 635/531, 789/924, 698/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 635/531, 789/924, 698/415 quickly i.e. 349708470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 635/531, 789/924, 698/415 is 349708470.

LCM(635/531, 789/924, 698/415) = 349708470

LCM of 635/531, 789/924, 698/415

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 635/531,789/924,698/415

Given numbers are 635/531,789/924,698/415

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 635,789,698

Least Common Multiple of Numerators i.e. LCM of 635,789,698 is 349708470.

GCF of Denominators means GCF of 531,924,415 as per the given fractions.

GCF of 531,924,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 635,789,698

LCM of Fractions 635/531,789/924,698/415 is 349708470

Given numbers has no common factors except 1. So, there LCM is their product i.e 349708470

Least Common Multiple of 635,789,698 with GCF Formula

Least Common Multiple of 635,789,698 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 635,789,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,789,698) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(635,789,698) x common factors =1 x 1 = 1

LCM(635,789,698) = ( 635 × 789 × 698 ) / 1

LCM(635,789,698) = 349708470 / 1

LCM(635,789,698) = 349708470


Lets's calculate GCF of 531,924,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349708470/1

Therefore the LCM of Fractions 635/531,789/924,698/415 is 349708470

Greatest Common Factor of 531,924,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,924,415 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 531,924,415 . The biggest common factor number is the GCF number.
So the greatest common factor 531,924,415 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 635/531, 789/924, 698/415

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 635/531, 789/924, 698/415?

Answer: LCM of Numerators as per given numbers 635/531, 789/924, 698/415 is

LCM of Numerators i.e. for 635,789,698 is 349708470

GCF of denominators i.e. for 531,924,415 is 1.

Thus, LCM of Fractions is 349708470.Finally, LCM of Fractions for 635/531, 789/924, 698/415 is 349708470.