Least Common Multiple of 284/38, 726/58, 781/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/38, 726/58, 781/260 quickly i.e. 51546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/38, 726/58, 781/260 is 51546.

LCM(284/38, 726/58, 781/260) = 51546

LCM of 284/38, 726/58, 781/260

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 284/38,726/58,781/260

Given numbers are 284/38,726/58,781/260

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 284,726,781

Least Common Multiple of Numerators i.e. LCM of 284,726,781 is 103092.

GCF of Denominators means GCF of 38,58,260 as per the given fractions.

GCF of 38,58,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,726,781

LCM of Fractions 284/38,726/58,781/260 is 51546

2 284, 726, 781
11 142, 363, 781
71 142, 33, 71
2, 33, 1

∴ So the LCM of the given numbers is 2 x 11 x 71 x 2 x 33 x 1 = 103092

Least Common Multiple of 284,726,781 with GCF Formula

Least Common Multiple of 284,726,781 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 284,726,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,726,781) = 1

common factors(in case of two or more numbers have common factors) = 1562

GCF(284,726,781) x common factors =1 x 1562 = 1562

LCM(284,726,781) = ( 284 × 726 × 781 ) / 1562

LCM(284,726,781) = 161029704 / 1562

LCM(284,726,781) = 103092


Lets's calculate GCF of 38,58,260

2 38, 58, 260
19, 29, 130

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103092/2

Therefore the LCM of Fractions 284/38,726/58,781/260 is 51546

Greatest Common Factor of 38,58,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,58,260 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 38,58,260 . The biggest common factor number is the GCF number.
So the greatest common factor 38,58,260 is 2.


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 284/38, 726/58, 781/260

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 284/38, 726/58, 781/260?

Answer: LCM of Numerators as per given numbers 284/38, 726/58, 781/260 is

LCM of Numerators i.e. for 284,726,781 is 103092

GCF of denominators i.e. for 38,58,260 is 2.

Thus, LCM of Fractions is 51546.Finally, LCM of Fractions for 284/38, 726/58, 781/260 is 51546.