Least Common Multiple of 345/63, 588/3703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/63, 588/3703 quickly i.e. 9660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/63, 588/3703 is 9660.

LCM(345/63, 588/3703) = 9660

LCM of 345/63, 588/3703

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 345/63,588/3703

Given numbers are 345/63,588/3703

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 345,588

Least Common Multiple of Numerators i.e. LCM of 345,588 is 67620.

GCF of Denominators means GCF of 63,3703 as per the given fractions.

GCF of 63,3703 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,588

LCM of Fractions 345/63,588/3703 is 9660

3 345, 588
115, 196

∴ So the LCM of the given numbers is 3 x 115 x 196 = 67620

Least Common Multiple of 345,588 with GCF Formula

Least Common Multiple of 345,588 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 345,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,588) = 3

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

GCF(345,588) x common factors =3 x 1 = 3

LCM(345,588) = ( 345 × 588 ) / 3

LCM(345,588) = 202860 / 3

LCM(345,588) = 67620


Lets's calculate GCF of 63,3703

7 63, 3703
9, 529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67620/7

Therefore the LCM of Fractions 345/63,588/3703 is 9660

Greatest Common Factor of 63,3703 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,3703 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1,7,23,161,529,3703

Greatest Common Factor

We found the factors 63,3703 . The biggest common factor number is the GCF number.
So the greatest common factor 63,3703 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 345/63, 588/3703

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 345/63, 588/3703?

Answer: LCM of Numerators as per given numbers 345/63, 588/3703 is

LCM of Numerators i.e. for 345,588 is 67620

GCF of denominators i.e. for 63,3703 is 7.

Thus, LCM of Fractions is 9660.Finally, LCM of Fractions for 345/63, 588/3703 is 9660.