Least Common Multiple of 4497/290, 1704/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4497/290, 1704/605 quickly i.e. 2554296/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4497/290, 1704/605 is 2554296/5.

LCM(4497/290, 1704/605) = 2554296/5

LCM of 4497/290, 1704/605

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 4497/290,1704/605

Given numbers are 4497/290,1704/605

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 4497,1704

Least Common Multiple of Numerators i.e. LCM of 4497,1704 is 2554296.

GCF of Denominators means GCF of 290,605 as per the given fractions.

GCF of 290,605 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4497,1704

LCM of Fractions 4497/290,1704/605 is 2554296/5

3 4497, 1704
1499, 568

∴ So the LCM of the given numbers is 3 x 1499 x 568 = 2554296

Least Common Multiple of 4497,1704 with GCF Formula

Least Common Multiple of 4497,1704 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 4497,1704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4497,1704) = 3

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

GCF(4497,1704) x common factors =3 x 1 = 3

LCM(4497,1704) = ( 4497 × 1704 ) / 3

LCM(4497,1704) = 7662888 / 3

LCM(4497,1704) = 2554296


Lets's calculate GCF of 290,605

5 290, 605
58, 121

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2554296/5

Therefore the LCM of Fractions 4497/290,1704/605 is 2554296/5

Greatest Common Factor of 290,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,605 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 290,605 . The biggest common factor number is the GCF number.
So the greatest common factor 290,605 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4497/290, 1704/605

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 4497/290, 1704/605?

Answer: LCM of Numerators as per given numbers 4497/290, 1704/605 is

LCM of Numerators i.e. for 4497,1704 is 2554296

GCF of denominators i.e. for 290,605 is 5.

Thus, LCM of Fractions is 2554296/5.Finally, LCM of Fractions for 4497/290, 1704/605 is 2554296/5.