Least Common Multiple of 1590/141, 8943/4575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1590/141, 8943/4575 quickly i.e. 1579930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1590/141, 8943/4575 is 1579930.

LCM(1590/141, 8943/4575) = 1579930

LCM of 1590/141, 8943/4575

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 1590/141,8943/4575

Given numbers are 1590/141,8943/4575

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 1590,8943

Least Common Multiple of Numerators i.e. LCM of 1590,8943 is 4739790.

GCF of Denominators means GCF of 141,4575 as per the given fractions.

GCF of 141,4575 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1590,8943

LCM of Fractions 1590/141,8943/4575 is 1579930

3 1590, 8943
530, 2981

∴ So the LCM of the given numbers is 3 x 530 x 2981 = 4739790

Least Common Multiple of 1590,8943 with GCF Formula

Least Common Multiple of 1590,8943 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 1590,8943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1590,8943) = 3

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

GCF(1590,8943) x common factors =3 x 1 = 3

LCM(1590,8943) = ( 1590 × 8943 ) / 3

LCM(1590,8943) = 14219370 / 3

LCM(1590,8943) = 4739790


Lets's calculate GCF of 141,4575

3 141, 4575
47, 1525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4739790/3

Therefore the LCM of Fractions 1590/141,8943/4575 is 1579930

Greatest Common Factor of 141,4575 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,4575 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 4575

List of positive integer factors of 4575 that divides 4575 without a remainder.

1,3,5,15,25,61,75,183,305,915,1525,4575

Greatest Common Factor

We found the factors 141,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 141,4575 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 1590/141, 8943/4575

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 1590/141, 8943/4575?

Answer: LCM of Numerators as per given numbers 1590/141, 8943/4575 is

LCM of Numerators i.e. for 1590,8943 is 4739790

GCF of denominators i.e. for 141,4575 is 3.

Thus, LCM of Fractions is 1579930.Finally, LCM of Fractions for 1590/141, 8943/4575 is 1579930.