Least Common Multiple of 5995/578, 6580/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5995/578, 6580/442 quickly i.e. 7889420/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5995/578, 6580/442 is 7889420/34.

LCM(5995/578, 6580/442) = 7889420/34

LCM of 5995/578, 6580/442

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 5995/578,6580/442

Given numbers are 5995/578,6580/442

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 5995,6580

Least Common Multiple of Numerators i.e. LCM of 5995,6580 is 7889420.

GCF of Denominators means GCF of 578,442 as per the given fractions.

GCF of 578,442 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5995,6580

LCM of Fractions 5995/578,6580/442 is 7889420/34

5 5995, 6580
1199, 1316

∴ So the LCM of the given numbers is 5 x 1199 x 1316 = 7889420

Least Common Multiple of 5995,6580 with GCF Formula

Least Common Multiple of 5995,6580 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 5995,6580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5995,6580) = 5

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

GCF(5995,6580) x common factors =5 x 1 = 5

LCM(5995,6580) = ( 5995 × 6580 ) / 5

LCM(5995,6580) = 39447100 / 5

LCM(5995,6580) = 7889420


Lets's calculate GCF of 578,442

2 578, 442
17 289, 221
17, 13

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7889420/34

Therefore the LCM of Fractions 5995/578,6580/442 is 7889420/34

Greatest Common Factor of 578,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,442 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 578,442 . The biggest common factor number is the GCF number.
So the greatest common factor 578,442 is 34.


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 5995/578, 6580/442

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 5995/578, 6580/442?

Answer: LCM of Numerators as per given numbers 5995/578, 6580/442 is

LCM of Numerators i.e. for 5995,6580 is 7889420

GCF of denominators i.e. for 578,442 is 34.

Thus, LCM of Fractions is 7889420/34.Finally, LCM of Fractions for 5995/578, 6580/442 is 7889420/34.