Least Common Multiple of 5087/697, 5173/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5087/697, 5173/748 quickly i.e. 26315051/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5087/697, 5173/748 is 26315051/17.

LCM(5087/697, 5173/748) = 26315051/17

LCM of 5087/697, 5173/748

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 5087/697,5173/748

Given numbers are 5087/697,5173/748

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 5087,5173

Least Common Multiple of Numerators i.e. LCM of 5087,5173 is 26315051.

GCF of Denominators means GCF of 697,748 as per the given fractions.

GCF of 697,748 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5087,5173

LCM of Fractions 5087/697,5173/748 is 26315051/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 26315051

Least Common Multiple of 5087,5173 with GCF Formula

Least Common Multiple of 5087,5173 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 5087,5173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5087,5173) = 1

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

GCF(5087,5173) x common factors =1 x 1 = 1

LCM(5087,5173) = ( 5087 × 5173 ) / 1

LCM(5087,5173) = 26315051 / 1

LCM(5087,5173) = 26315051


Lets's calculate GCF of 697,748

17 697, 748
41, 44

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26315051/17

Therefore the LCM of Fractions 5087/697,5173/748 is 26315051/17

Greatest Common Factor of 697,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,748 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 697,748 . The biggest common factor number is the GCF number.
So the greatest common factor 697,748 is 17.


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 5087/697, 5173/748

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 5087/697, 5173/748?

Answer: LCM of Numerators as per given numbers 5087/697, 5173/748 is

LCM of Numerators i.e. for 5087,5173 is 26315051

GCF of denominators i.e. for 697,748 is 17.

Thus, LCM of Fractions is 26315051/17.Finally, LCM of Fractions for 5087/697, 5173/748 is 26315051/17.