Least Common Multiple of 434/72, 539/6282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 434/72, 539/6282 quickly i.e. 33418/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/72, 539/6282 is 33418/18.

LCM(434/72, 539/6282) = 33418/18

LCM of 434/72, 539/6282

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 434/72,539/6282

Given numbers are 434/72,539/6282

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 434,539

Least Common Multiple of Numerators i.e. LCM of 434,539 is 33418.

GCF of Denominators means GCF of 72,6282 as per the given fractions.

GCF of 72,6282 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,539

LCM of Fractions 434/72,539/6282 is 33418/18

7 434, 539
62, 77

∴ So the LCM of the given numbers is 7 x 62 x 77 = 33418

Least Common Multiple of 434,539 with GCF Formula

Least Common Multiple of 434,539 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 434,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,539) = 7

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

GCF(434,539) x common factors =7 x 1 = 7

LCM(434,539) = ( 434 × 539 ) / 7

LCM(434,539) = 233926 / 7

LCM(434,539) = 33418


Lets's calculate GCF of 72,6282

2 72, 6282
3 36, 3141
3 12, 1047
4, 349

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33418/18

Therefore the LCM of Fractions 434/72,539/6282 is 33418/18

Greatest Common Factor of 72,6282 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,6282 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 6282

List of positive integer factors of 6282 that divides 6282 without a remainder.

1,2,3,6,9,18,349,698,1047,2094,3141,6282

Greatest Common Factor

We found the factors 72,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6282 is 18.


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Frequently Asked Questions on Fractional LCM of 434/72, 539/6282

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 434/72, 539/6282?

Answer: LCM of Numerators as per given numbers 434/72, 539/6282 is

LCM of Numerators i.e. for 434,539 is 33418

GCF of denominators i.e. for 72,6282 is 18.

Thus, LCM of Fractions is 33418/18.Finally, LCM of Fractions for 434/72, 539/6282 is 33418/18.