Least Common Multiple of 65/638, 10/696, 286/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/638, 10/696, 286/659 quickly i.e. 1430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/638, 10/696, 286/659 is 1430.

LCM(65/638, 10/696, 286/659) = 1430

LCM of 65/638, 10/696, 286/659

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 65/638,10/696,286/659

Given numbers are 65/638,10/696,286/659

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 65,10,286

Least Common Multiple of Numerators i.e. LCM of 65,10,286 is 1430.

GCF of Denominators means GCF of 638,696,659 as per the given fractions.

GCF of 638,696,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,10,286

LCM of Fractions 65/638,10/696,286/659 is 1430

2 65, 10, 286
5 65, 5, 143
13 13, 1, 143
1, 1, 11

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 1 x 11 = 1430

Least Common Multiple of 65,10,286 with GCF Formula

Least Common Multiple of 65,10,286 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 65,10,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,10,286) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,10,286) x common factors =1 x 130 = 130

LCM(65,10,286) = ( 65 × 10 × 286 ) / 130

LCM(65,10,286) = 185900 / 130

LCM(65,10,286) = 1430


Lets's calculate GCF of 638,696,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1430/1

Therefore the LCM of Fractions 65/638,10/696,286/659 is 1430

Greatest Common Factor of 638,696,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,696,659 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 638,696,659 . The biggest common factor number is the GCF number.
So the greatest common factor 638,696,659 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 65/638, 10/696, 286/659

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 65/638, 10/696, 286/659?

Answer: LCM of Numerators as per given numbers 65/638, 10/696, 286/659 is

LCM of Numerators i.e. for 65,10,286 is 1430

GCF of denominators i.e. for 638,696,659 is 1.

Thus, LCM of Fractions is 1430.Finally, LCM of Fractions for 65/638, 10/696, 286/659 is 1430.