Least Common Multiple of 13/17, 25/47, 29/27, 74/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/17, 25/47, 29/27, 74/915 quickly i.e. 697450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/17, 25/47, 29/27, 74/915 is 697450.

LCM(13/17, 25/47, 29/27, 74/915) = 697450

LCM of 13/17, 25/47, 29/27, 74/915

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 13/17,25/47,29/27,74/915

Given numbers are 13/17,25/47,29/27,74/915

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 13,25,29,74

Least Common Multiple of Numerators i.e. LCM of 13,25,29,74 is 697450.

GCF of Denominators means GCF of 17,47,27,915 as per the given fractions.

GCF of 17,47,27,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,25,29,74

LCM of Fractions 13/17,25/47,29/27,74/915 is 697450

Given numbers has no common factors except 1. So, there LCM is their product i.e 697450

Least Common Multiple of 13,25,29,74 with GCF Formula

Least Common Multiple of 13,25,29,74 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 13,25,29,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,25,29,74) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,25,29,74) x common factors =1 x 1 = 1

LCM(13,25,29,74) = ( 13 × 25 × 29 × 74 ) / 1

LCM(13,25,29,74) = 697450 / 1

LCM(13,25,29,74) = 697450


Lets's calculate GCF of 17,47,27,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 697450/1

Therefore the LCM of Fractions 13/17,25/47,29/27,74/915 is 697450

Greatest Common Factor of 17,47,27,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,47,27,915 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 17,47,27,915 . The biggest common factor number is the GCF number.
So the greatest common factor 17,47,27,915 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/17, 25/47, 29/27, 74/915

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 13/17, 25/47, 29/27, 74/915?

Answer: LCM of Numerators as per given numbers 13/17, 25/47, 29/27, 74/915 is

LCM of Numerators i.e. for 13,25,29,74 is 697450

GCF of denominators i.e. for 17,47,27,915 is 1.

Thus, LCM of Fractions is 697450.Finally, LCM of Fractions for 13/17, 25/47, 29/27, 74/915 is 697450.