Least Common Multiple of 290/518, 2002/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/518, 2002/595 quickly i.e. 41470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/518, 2002/595 is 41470.

LCM(290/518, 2002/595) = 41470

LCM of 290/518, 2002/595

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 290/518,2002/595

Given numbers are 290/518,2002/595

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 290,2002

Least Common Multiple of Numerators i.e. LCM of 290,2002 is 290290.

GCF of Denominators means GCF of 518,595 as per the given fractions.

GCF of 518,595 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,2002

LCM of Fractions 290/518,2002/595 is 41470

2 290, 2002
145, 1001

∴ So the LCM of the given numbers is 2 x 145 x 1001 = 290290

Least Common Multiple of 290,2002 with GCF Formula

Least Common Multiple of 290,2002 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 290,2002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,2002) = 2

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

GCF(290,2002) x common factors =2 x 1 = 2

LCM(290,2002) = ( 290 × 2002 ) / 2

LCM(290,2002) = 580580 / 2

LCM(290,2002) = 290290


Lets's calculate GCF of 518,595

7 518, 595
74, 85

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290290/7

Therefore the LCM of Fractions 290/518,2002/595 is 41470

Greatest Common Factor of 518,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,595 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 518,595 . The biggest common factor number is the GCF number.
So the greatest common factor 518,595 is 7.


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 290/518, 2002/595

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 290/518, 2002/595?

Answer: LCM of Numerators as per given numbers 290/518, 2002/595 is

LCM of Numerators i.e. for 290,2002 is 290290

GCF of denominators i.e. for 518,595 is 7.

Thus, LCM of Fractions is 41470.Finally, LCM of Fractions for 290/518, 2002/595 is 41470.