Least Common Multiple of 4245/304, 2373/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4245/304, 2373/688 quickly i.e. 3357795/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4245/304, 2373/688 is 3357795/16.

LCM(4245/304, 2373/688) = 3357795/16

LCM of 4245/304, 2373/688

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 4245/304,2373/688

Given numbers are 4245/304,2373/688

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 4245,2373

Least Common Multiple of Numerators i.e. LCM of 4245,2373 is 3357795.

GCF of Denominators means GCF of 304,688 as per the given fractions.

GCF of 304,688 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4245,2373

LCM of Fractions 4245/304,2373/688 is 3357795/16

3 4245, 2373
1415, 791

∴ So the LCM of the given numbers is 3 x 1415 x 791 = 3357795

Least Common Multiple of 4245,2373 with GCF Formula

Least Common Multiple of 4245,2373 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 4245,2373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4245,2373) = 3

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

GCF(4245,2373) x common factors =3 x 1 = 3

LCM(4245,2373) = ( 4245 × 2373 ) / 3

LCM(4245,2373) = 10073385 / 3

LCM(4245,2373) = 3357795


Lets's calculate GCF of 304,688

2 304, 688
2 152, 344
2 76, 172
2 38, 86
19, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3357795/16

Therefore the LCM of Fractions 4245/304,2373/688 is 3357795/16

Greatest Common Factor of 304,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,688 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 304,688 . The biggest common factor number is the GCF number.
So the greatest common factor 304,688 is 16.


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 4245/304, 2373/688

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 4245/304, 2373/688?

Answer: LCM of Numerators as per given numbers 4245/304, 2373/688 is

LCM of Numerators i.e. for 4245,2373 is 3357795

GCF of denominators i.e. for 304,688 is 16.

Thus, LCM of Fractions is 3357795/16.Finally, LCM of Fractions for 4245/304, 2373/688 is 3357795/16.