Least Common Multiple of 501/455, 791/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/455, 791/575 quickly i.e. 396291/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/455, 791/575 is 396291/5.

LCM(501/455, 791/575) = 396291/5

LCM of 501/455, 791/575

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 501/455,791/575

Given numbers are 501/455,791/575

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 501,791

Least Common Multiple of Numerators i.e. LCM of 501,791 is 396291.

GCF of Denominators means GCF of 455,575 as per the given fractions.

GCF of 455,575 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,791

LCM of Fractions 501/455,791/575 is 396291/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 396291

Least Common Multiple of 501,791 with GCF Formula

Least Common Multiple of 501,791 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 501,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,791) = 1

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

GCF(501,791) x common factors =1 x 1 = 1

LCM(501,791) = ( 501 × 791 ) / 1

LCM(501,791) = 396291 / 1

LCM(501,791) = 396291


Lets's calculate GCF of 455,575

5 455, 575
91, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396291/5

Therefore the LCM of Fractions 501/455,791/575 is 396291/5

Greatest Common Factor of 455,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,575 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 455,575 . The biggest common factor number is the GCF number.
So the greatest common factor 455,575 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 501/455, 791/575

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 501/455, 791/575?

Answer: LCM of Numerators as per given numbers 501/455, 791/575 is

LCM of Numerators i.e. for 501,791 is 396291

GCF of denominators i.e. for 455,575 is 5.

Thus, LCM of Fractions is 396291/5.Finally, LCM of Fractions for 501/455, 791/575 is 396291/5.