Least Common Multiple of 1460/583, 1990/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1460/583, 1990/331 quickly i.e. 290540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1460/583, 1990/331 is 290540.

LCM(1460/583, 1990/331) = 290540

LCM of 1460/583, 1990/331

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 1460/583,1990/331

Given numbers are 1460/583,1990/331

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 1460,1990

Least Common Multiple of Numerators i.e. LCM of 1460,1990 is 290540.

GCF of Denominators means GCF of 583,331 as per the given fractions.

GCF of 583,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1460,1990

LCM of Fractions 1460/583,1990/331 is 290540

2 1460, 1990
5 730, 995
146, 199

∴ So the LCM of the given numbers is 2 x 5 x 146 x 199 = 290540

Least Common Multiple of 1460,1990 with GCF Formula

Least Common Multiple of 1460,1990 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 1460,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1460,1990) = 10

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

GCF(1460,1990) x common factors =10 x 1 = 10

LCM(1460,1990) = ( 1460 × 1990 ) / 10

LCM(1460,1990) = 2905400 / 10

LCM(1460,1990) = 290540


Lets's calculate GCF of 583,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290540/1

Therefore the LCM of Fractions 1460/583,1990/331 is 290540

Greatest Common Factor of 583,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,331 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 583,331 . The biggest common factor number is the GCF number.
So the greatest common factor 583,331 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1460/583, 1990/331

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 1460/583, 1990/331?

Answer: LCM of Numerators as per given numbers 1460/583, 1990/331 is

LCM of Numerators i.e. for 1460,1990 is 290540

GCF of denominators i.e. for 583,331 is 1.

Thus, LCM of Fractions is 290540.Finally, LCM of Fractions for 1460/583, 1990/331 is 290540.