Least Common Multiple of 31/49, 49/65, 17/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/49, 49/65, 17/725 quickly i.e. 25823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/49, 49/65, 17/725 is 25823.

LCM(31/49, 49/65, 17/725) = 25823

LCM of 31/49, 49/65, 17/725

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 31/49,49/65,17/725

Given numbers are 31/49,49/65,17/725

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 31,49,17

Least Common Multiple of Numerators i.e. LCM of 31,49,17 is 25823.

GCF of Denominators means GCF of 49,65,725 as per the given fractions.

GCF of 49,65,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,49,17

LCM of Fractions 31/49,49/65,17/725 is 25823

Given numbers has no common factors except 1. So, there LCM is their product i.e 25823

Least Common Multiple of 31,49,17 with GCF Formula

Least Common Multiple of 31,49,17 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 31,49,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,49,17) = 1

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

GCF(31,49,17) x common factors =1 x 1 = 1

LCM(31,49,17) = ( 31 × 49 × 17 ) / 1

LCM(31,49,17) = 25823 / 1

LCM(31,49,17) = 25823


Lets's calculate GCF of 49,65,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25823/1

Therefore the LCM of Fractions 31/49,49/65,17/725 is 25823

Greatest Common Factor of 49,65,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,65,725 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 49,65,725 . The biggest common factor number is the GCF number.
So the greatest common factor 49,65,725 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 31/49, 49/65, 17/725

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 31/49, 49/65, 17/725?

Answer: LCM of Numerators as per given numbers 31/49, 49/65, 17/725 is

LCM of Numerators i.e. for 31,49,17 is 25823

GCF of denominators i.e. for 49,65,725 is 1.

Thus, LCM of Fractions is 25823.Finally, LCM of Fractions for 31/49, 49/65, 17/725 is 25823.