Least Common Multiple of 78/539, 56/435, 816/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/539, 56/435, 816/221 quickly i.e. 74256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/539, 56/435, 816/221 is 74256.

LCM(78/539, 56/435, 816/221) = 74256

LCM of 78/539, 56/435, 816/221

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 78/539,56/435,816/221

Given numbers are 78/539,56/435,816/221

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 78,56,816

Least Common Multiple of Numerators i.e. LCM of 78,56,816 is 74256.

GCF of Denominators means GCF of 539,435,221 as per the given fractions.

GCF of 539,435,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,56,816

LCM of Fractions 78/539,56/435,816/221 is 74256

2 78, 56, 816
2 39, 28, 408
2 39, 14, 204
3 39, 7, 102
13, 7, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 7 x 34 = 74256

Least Common Multiple of 78,56,816 with GCF Formula

Least Common Multiple of 78,56,816 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 78,56,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,56,816) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(78,56,816) x common factors =2 x 24 = 48

LCM(78,56,816) = ( 78 × 56 × 816 ) / 48

LCM(78,56,816) = 3564288 / 48

LCM(78,56,816) = 74256


Lets's calculate GCF of 539,435,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74256/1

Therefore the LCM of Fractions 78/539,56/435,816/221 is 74256

Greatest Common Factor of 539,435,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,435,221 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 539,435,221 . The biggest common factor number is the GCF number.
So the greatest common factor 539,435,221 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 78/539, 56/435, 816/221

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 78/539, 56/435, 816/221?

Answer: LCM of Numerators as per given numbers 78/539, 56/435, 816/221 is

LCM of Numerators i.e. for 78,56,816 is 74256

GCF of denominators i.e. for 539,435,221 is 1.

Thus, LCM of Fractions is 74256.Finally, LCM of Fractions for 78/539, 56/435, 816/221 is 74256.