Least Common Multiple of 52/687, 715/702, 904/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/687, 715/702, 904/935 quickly i.e. 646360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/687, 715/702, 904/935 is 646360.

LCM(52/687, 715/702, 904/935) = 646360

LCM of 52/687, 715/702, 904/935

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 52/687,715/702,904/935

Given numbers are 52/687,715/702,904/935

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 52,715,904

Least Common Multiple of Numerators i.e. LCM of 52,715,904 is 646360.

GCF of Denominators means GCF of 687,702,935 as per the given fractions.

GCF of 687,702,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,715,904

LCM of Fractions 52/687,715/702,904/935 is 646360

2 52, 715, 904
2 26, 715, 452
13 13, 715, 226
1, 55, 226

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 55 x 226 = 646360

Least Common Multiple of 52,715,904 with GCF Formula

Least Common Multiple of 52,715,904 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 52,715,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,715,904) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(52,715,904) x common factors =1 x 52 = 52

LCM(52,715,904) = ( 52 × 715 × 904 ) / 52

LCM(52,715,904) = 33610720 / 52

LCM(52,715,904) = 646360


Lets's calculate GCF of 687,702,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646360/1

Therefore the LCM of Fractions 52/687,715/702,904/935 is 646360

Greatest Common Factor of 687,702,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,702,935 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 687,702,935 . The biggest common factor number is the GCF number.
So the greatest common factor 687,702,935 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 52/687, 715/702, 904/935

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 52/687, 715/702, 904/935?

Answer: LCM of Numerators as per given numbers 52/687, 715/702, 904/935 is

LCM of Numerators i.e. for 52,715,904 is 646360

GCF of denominators i.e. for 687,702,935 is 1.

Thus, LCM of Fractions is 646360.Finally, LCM of Fractions for 52/687, 715/702, 904/935 is 646360.