Least Common Multiple of 59/498, 38/915, 601/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/498, 38/915, 601/873 quickly i.e. 1347442/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/498, 38/915, 601/873 is 1347442/3.

LCM(59/498, 38/915, 601/873) = 1347442/3

LCM of 59/498, 38/915, 601/873

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 59/498,38/915,601/873

Given numbers are 59/498,38/915,601/873

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 59,38,601

Least Common Multiple of Numerators i.e. LCM of 59,38,601 is 1347442.

GCF of Denominators means GCF of 498,915,873 as per the given fractions.

GCF of 498,915,873 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,38,601

LCM of Fractions 59/498,38/915,601/873 is 1347442/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1347442

Least Common Multiple of 59,38,601 with GCF Formula

Least Common Multiple of 59,38,601 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 59,38,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,38,601) = 1

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

GCF(59,38,601) x common factors =1 x 1 = 1

LCM(59,38,601) = ( 59 × 38 × 601 ) / 1

LCM(59,38,601) = 1347442 / 1

LCM(59,38,601) = 1347442


Lets's calculate GCF of 498,915,873

3 498, 915, 873
166, 305, 291

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1347442/3

Therefore the LCM of Fractions 59/498,38/915,601/873 is 1347442/3

Greatest Common Factor of 498,915,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,915,873 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 498,915,873 . The biggest common factor number is the GCF number.
So the greatest common factor 498,915,873 is 3.


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 59/498, 38/915, 601/873

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 59/498, 38/915, 601/873?

Answer: LCM of Numerators as per given numbers 59/498, 38/915, 601/873 is

LCM of Numerators i.e. for 59,38,601 is 1347442

GCF of denominators i.e. for 498,915,873 is 3.

Thus, LCM of Fractions is 1347442/3.Finally, LCM of Fractions for 59/498, 38/915, 601/873 is 1347442/3.