Least Common Multiple of 935/26, 690/39, 286/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 935/26, 690/39, 286/780 quickly i.e. 129030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 935/26, 690/39, 286/780 is 129030.

LCM(935/26, 690/39, 286/780) = 129030

LCM of 935/26, 690/39, 286/780

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 935/26,690/39,286/780

Given numbers are 935/26,690/39,286/780

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 935,690,286

Least Common Multiple of Numerators i.e. LCM of 935,690,286 is 1677390.

GCF of Denominators means GCF of 26,39,780 as per the given fractions.

GCF of 26,39,780 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 935,690,286

LCM of Fractions 935/26,690/39,286/780 is 129030

2 935, 690, 286
5 935, 345, 143
11 187, 69, 143
17, 69, 13

∴ So the LCM of the given numbers is 2 x 5 x 11 x 17 x 69 x 13 = 1677390

Least Common Multiple of 935,690,286 with GCF Formula

Least Common Multiple of 935,690,286 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 935,690,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,690,286) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(935,690,286) x common factors =1 x 110 = 110

LCM(935,690,286) = ( 935 × 690 × 286 ) / 110

LCM(935,690,286) = 184512900 / 110

LCM(935,690,286) = 1677390


Lets's calculate GCF of 26,39,780

13 26, 39, 780
2, 3, 60

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1677390/13

Therefore the LCM of Fractions 935/26,690/39,286/780 is 129030

Greatest Common Factor of 26,39,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,39,780 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 26,39,780 . The biggest common factor number is the GCF number.
So the greatest common factor 26,39,780 is 13.


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 935/26, 690/39, 286/780

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 935/26, 690/39, 286/780?

Answer: LCM of Numerators as per given numbers 935/26, 690/39, 286/780 is

LCM of Numerators i.e. for 935,690,286 is 1677390

GCF of denominators i.e. for 26,39,780 is 13.

Thus, LCM of Fractions is 129030.Finally, LCM of Fractions for 935/26, 690/39, 286/780 is 129030.