Least Common Multiple of 7048/590, 5675/4446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7048/590, 5675/4446 quickly i.e. 19998700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7048/590, 5675/4446 is 19998700.

LCM(7048/590, 5675/4446) = 19998700

LCM of 7048/590, 5675/4446

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 7048/590,5675/4446

Given numbers are 7048/590,5675/4446

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 7048,5675

Least Common Multiple of Numerators i.e. LCM of 7048,5675 is 39997400.

GCF of Denominators means GCF of 590,4446 as per the given fractions.

GCF of 590,4446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7048,5675

LCM of Fractions 7048/590,5675/4446 is 19998700

Given numbers has no common factors except 1. So, there LCM is their product i.e 39997400

Least Common Multiple of 7048,5675 with GCF Formula

Least Common Multiple of 7048,5675 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 7048,5675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7048,5675) = 1

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

GCF(7048,5675) x common factors =1 x 1 = 1

LCM(7048,5675) = ( 7048 × 5675 ) / 1

LCM(7048,5675) = 39997400 / 1

LCM(7048,5675) = 39997400


Lets's calculate GCF of 590,4446

2 590, 4446
295, 2223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39997400/2

Therefore the LCM of Fractions 7048/590,5675/4446 is 19998700

Greatest Common Factor of 590,4446 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,4446 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 4446

List of positive integer factors of 4446 that divides 4446 without a remainder.

1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446

Greatest Common Factor

We found the factors 590,4446 . The biggest common factor number is the GCF number.
So the greatest common factor 590,4446 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7048/590, 5675/4446

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 7048/590, 5675/4446?

Answer: LCM of Numerators as per given numbers 7048/590, 5675/4446 is

LCM of Numerators i.e. for 7048,5675 is 39997400

GCF of denominators i.e. for 590,4446 is 2.

Thus, LCM of Fractions is 19998700.Finally, LCM of Fractions for 7048/590, 5675/4446 is 19998700.