Least Common Multiple of 4594/901, 5082/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4594/901, 5082/918 quickly i.e. 11673354/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4594/901, 5082/918 is 11673354/17.

LCM(4594/901, 5082/918) = 11673354/17

LCM of 4594/901, 5082/918

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 4594/901,5082/918

Given numbers are 4594/901,5082/918

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 4594,5082

Least Common Multiple of Numerators i.e. LCM of 4594,5082 is 11673354.

GCF of Denominators means GCF of 901,918 as per the given fractions.

GCF of 901,918 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4594,5082

LCM of Fractions 4594/901,5082/918 is 11673354/17

2 4594, 5082
2297, 2541

∴ So the LCM of the given numbers is 2 x 2297 x 2541 = 11673354

Least Common Multiple of 4594,5082 with GCF Formula

Least Common Multiple of 4594,5082 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 4594,5082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4594,5082) = 2

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

GCF(4594,5082) x common factors =2 x 1 = 2

LCM(4594,5082) = ( 4594 × 5082 ) / 2

LCM(4594,5082) = 23346708 / 2

LCM(4594,5082) = 11673354


Lets's calculate GCF of 901,918

17 901, 918
53, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11673354/17

Therefore the LCM of Fractions 4594/901,5082/918 is 11673354/17

Greatest Common Factor of 901,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,918 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 901,918 . The biggest common factor number is the GCF number.
So the greatest common factor 901,918 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 4594/901, 5082/918

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 4594/901, 5082/918?

Answer: LCM of Numerators as per given numbers 4594/901, 5082/918 is

LCM of Numerators i.e. for 4594,5082 is 11673354

GCF of denominators i.e. for 901,918 is 17.

Thus, LCM of Fractions is 11673354/17.Finally, LCM of Fractions for 4594/901, 5082/918 is 11673354/17.