Least Common Multiple of 5895/141, 8122/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5895/141, 8122/559 quickly i.e. 365490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5895/141, 8122/559 is 365490.

LCM(5895/141, 8122/559) = 365490

LCM of 5895/141, 8122/559

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 5895/141,8122/559

Given numbers are 5895/141,8122/559

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 5895,8122

Least Common Multiple of Numerators i.e. LCM of 5895,8122 is 365490.

GCF of Denominators means GCF of 141,559 as per the given fractions.

GCF of 141,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5895,8122

LCM of Fractions 5895/141,8122/559 is 365490

131 5895, 8122
45, 62

∴ So the LCM of the given numbers is 131 x 45 x 62 = 365490

Least Common Multiple of 5895,8122 with GCF Formula

Least Common Multiple of 5895,8122 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 5895,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5895,8122) = 131

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

GCF(5895,8122) x common factors =131 x 1 = 131

LCM(5895,8122) = ( 5895 × 8122 ) / 131

LCM(5895,8122) = 47879190 / 131

LCM(5895,8122) = 365490


Lets's calculate GCF of 141,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365490/1

Therefore the LCM of Fractions 5895/141,8122/559 is 365490

Greatest Common Factor of 141,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,559 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 141,559 . The biggest common factor number is the GCF number.
So the greatest common factor 141,559 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 5895/141, 8122/559

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 5895/141, 8122/559?

Answer: LCM of Numerators as per given numbers 5895/141, 8122/559 is

LCM of Numerators i.e. for 5895,8122 is 365490

GCF of denominators i.e. for 141,559 is 1.

Thus, LCM of Fractions is 365490.Finally, LCM of Fractions for 5895/141, 8122/559 is 365490.