Least Common Multiple of 13/79, 63/26, 41/85, 63/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/79, 63/26, 41/85, 63/598 quickly i.e. 33579 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/79, 63/26, 41/85, 63/598 is 33579.

LCM(13/79, 63/26, 41/85, 63/598) = 33579

LCM of 13/79, 63/26, 41/85, 63/598

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 13/79,63/26,41/85,63/598

Given numbers are 13/79,63/26,41/85,63/598

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 13,63,41,63

Least Common Multiple of Numerators i.e. LCM of 13,63,41,63 is 33579.

GCF of Denominators means GCF of 79,26,85,598 as per the given fractions.

GCF of 79,26,85,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,63,41,63

LCM of Fractions 13/79,63/26,41/85,63/598 is 33579

3 13, 63, 41, 63
3 13, 21, 41, 21
7 13, 7, 41, 7
13, 1, 41, 1

∴ So the LCM of the given numbers is 3 x 3 x 7 x 13 x 1 x 41 x 1 = 33579

Least Common Multiple of 13,63,41,63 with GCF Formula

Least Common Multiple of 13,63,41,63 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 13,63,41,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,63,41,63) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(13,63,41,63) x common factors =1 x 63 = 63

LCM(13,63,41,63) = ( 13 × 63 × 41 × 63 ) / 63

LCM(13,63,41,63) = 2115477 / 63

LCM(13,63,41,63) = 33579


Lets's calculate GCF of 79,26,85,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33579/1

Therefore the LCM of Fractions 13/79,63/26,41/85,63/598 is 33579

Greatest Common Factor of 79,26,85,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,26,85,598 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 26

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

1,2,13,26

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 79,26,85,598 . The biggest common factor number is the GCF number.
So the greatest common factor 79,26,85,598 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/79, 63/26, 41/85, 63/598

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 13/79, 63/26, 41/85, 63/598?

Answer: LCM of Numerators as per given numbers 13/79, 63/26, 41/85, 63/598 is

LCM of Numerators i.e. for 13,63,41,63 is 33579

GCF of denominators i.e. for 79,26,85,598 is 1.

Thus, LCM of Fractions is 33579.Finally, LCM of Fractions for 13/79, 63/26, 41/85, 63/598 is 33579.