Least Common Multiple of 498/861, 5746/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/861, 5746/601 quickly i.e. 1430754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/861, 5746/601 is 1430754.

LCM(498/861, 5746/601) = 1430754

LCM of 498/861, 5746/601

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 498/861,5746/601

Given numbers are 498/861,5746/601

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 498,5746

Least Common Multiple of Numerators i.e. LCM of 498,5746 is 1430754.

GCF of Denominators means GCF of 861,601 as per the given fractions.

GCF of 861,601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,5746

LCM of Fractions 498/861,5746/601 is 1430754

2 498, 5746
249, 2873

∴ So the LCM of the given numbers is 2 x 249 x 2873 = 1430754

Least Common Multiple of 498,5746 with GCF Formula

Least Common Multiple of 498,5746 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 498,5746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,5746) = 2

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

GCF(498,5746) x common factors =2 x 1 = 2

LCM(498,5746) = ( 498 × 5746 ) / 2

LCM(498,5746) = 2861508 / 2

LCM(498,5746) = 1430754


Lets's calculate GCF of 861,601

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1430754/1

Therefore the LCM of Fractions 498/861,5746/601 is 1430754

Greatest Common Factor of 861,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,601 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 861,601 . The biggest common factor number is the GCF number.
So the greatest common factor 861,601 is 1.


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 498/861, 5746/601

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 498/861, 5746/601?

Answer: LCM of Numerators as per given numbers 498/861, 5746/601 is

LCM of Numerators i.e. for 498,5746 is 1430754

GCF of denominators i.e. for 861,601 is 1.

Thus, LCM of Fractions is 1430754.Finally, LCM of Fractions for 498/861, 5746/601 is 1430754.