Least Common Multiple of 604/87, 294/5043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 604/87, 294/5043 quickly i.e. 29596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/87, 294/5043 is 29596.

LCM(604/87, 294/5043) = 29596

LCM of 604/87, 294/5043

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 604/87,294/5043

Given numbers are 604/87,294/5043

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 604,294

Least Common Multiple of Numerators i.e. LCM of 604,294 is 88788.

GCF of Denominators means GCF of 87,5043 as per the given fractions.

GCF of 87,5043 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,294

LCM of Fractions 604/87,294/5043 is 29596

2 604, 294
302, 147

∴ So the LCM of the given numbers is 2 x 302 x 147 = 88788

Least Common Multiple of 604,294 with GCF Formula

Least Common Multiple of 604,294 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 604,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,294) = 2

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

GCF(604,294) x common factors =2 x 1 = 2

LCM(604,294) = ( 604 × 294 ) / 2

LCM(604,294) = 177576 / 2

LCM(604,294) = 88788


Lets's calculate GCF of 87,5043

3 87, 5043
29, 1681

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88788/3

Therefore the LCM of Fractions 604/87,294/5043 is 29596

Greatest Common Factor of 87,5043 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,5043 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1,3,41,123,1681,5043

Greatest Common Factor

We found the factors 87,5043 . The biggest common factor number is the GCF number.
So the greatest common factor 87,5043 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 604/87, 294/5043

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 604/87, 294/5043?

Answer: LCM of Numerators as per given numbers 604/87, 294/5043 is

LCM of Numerators i.e. for 604,294 is 88788

GCF of denominators i.e. for 87,5043 is 3.

Thus, LCM of Fractions is 29596.Finally, LCM of Fractions for 604/87, 294/5043 is 29596.