Least Common Multiple of 91/635, 17/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/635, 17/415 quickly i.e. 1547/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/635, 17/415 is 1547/5.

LCM(91/635, 17/415) = 1547/5

LCM of 91/635, 17/415

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 91/635,17/415

Given numbers are 91/635,17/415

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 91,17

Least Common Multiple of Numerators i.e. LCM of 91,17 is 1547.

GCF of Denominators means GCF of 635,415 as per the given fractions.

GCF of 635,415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,17

LCM of Fractions 91/635,17/415 is 1547/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1547

Least Common Multiple of 91,17 with GCF Formula

Least Common Multiple of 91,17 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 91,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,17) = 1

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

GCF(91,17) x common factors =1 x 1 = 1

LCM(91,17) = ( 91 × 17 ) / 1

LCM(91,17) = 1547 / 1

LCM(91,17) = 1547


Lets's calculate GCF of 635,415

5 635, 415
127, 83

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547/5

Therefore the LCM of Fractions 91/635,17/415 is 1547/5

Greatest Common Factor of 635,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,415 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 635,415 . The biggest common factor number is the GCF number.
So the greatest common factor 635,415 is 5.


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 91/635, 17/415

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 91/635, 17/415?

Answer: LCM of Numerators as per given numbers 91/635, 17/415 is

LCM of Numerators i.e. for 91,17 is 1547

GCF of denominators i.e. for 635,415 is 5.

Thus, LCM of Fractions is 1547/5.Finally, LCM of Fractions for 91/635, 17/415 is 1547/5.