Least Common Multiple of 39/437, 74/442, 568/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/437, 74/442, 568/340 quickly i.e. 819624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/437, 74/442, 568/340 is 819624.

LCM(39/437, 74/442, 568/340) = 819624

LCM of 39/437, 74/442, 568/340

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 39/437,74/442,568/340

Given numbers are 39/437,74/442,568/340

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 39,74,568

Least Common Multiple of Numerators i.e. LCM of 39,74,568 is 819624.

GCF of Denominators means GCF of 437,442,340 as per the given fractions.

GCF of 437,442,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,74,568

LCM of Fractions 39/437,74/442,568/340 is 819624

2 39, 74, 568
39, 37, 284

∴ So the LCM of the given numbers is 2 x 39 x 37 x 284 = 819624

Least Common Multiple of 39,74,568 with GCF Formula

Least Common Multiple of 39,74,568 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 39,74,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,74,568) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(39,74,568) x common factors =1 x 2 = 2

LCM(39,74,568) = ( 39 × 74 × 568 ) / 2

LCM(39,74,568) = 1639248 / 2

LCM(39,74,568) = 819624


Lets's calculate GCF of 437,442,340

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 819624/1

Therefore the LCM of Fractions 39/437,74/442,568/340 is 819624

Greatest Common Factor of 437,442,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,442,340 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 442

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

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

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 437,442,340 . The biggest common factor number is the GCF number.
So the greatest common factor 437,442,340 is 1.


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 39/437, 74/442, 568/340

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 39/437, 74/442, 568/340?

Answer: LCM of Numerators as per given numbers 39/437, 74/442, 568/340 is

LCM of Numerators i.e. for 39,74,568 is 819624

GCF of denominators i.e. for 437,442,340 is 1.

Thus, LCM of Fractions is 819624.Finally, LCM of Fractions for 39/437, 74/442, 568/340 is 819624.