Least Common Multiple of 563/28, 825/60, 786/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 563/28, 825/60, 786/50 quickly i.e. 60846225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 563/28, 825/60, 786/50 is 60846225.

LCM(563/28, 825/60, 786/50) = 60846225

LCM of 563/28, 825/60, 786/50

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 563/28,825/60,786/50

Given numbers are 563/28,825/60,786/50

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 563,825,786

Least Common Multiple of Numerators i.e. LCM of 563,825,786 is 121692450.

GCF of Denominators means GCF of 28,60,50 as per the given fractions.

GCF of 28,60,50 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 563,825,786

LCM of Fractions 563/28,825/60,786/50 is 60846225

3 563, 825, 786
563, 275, 262

∴ So the LCM of the given numbers is 3 x 563 x 275 x 262 = 121692450

Least Common Multiple of 563,825,786 with GCF Formula

Least Common Multiple of 563,825,786 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 563,825,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,825,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(563,825,786) x common factors =1 x 3 = 3

LCM(563,825,786) = ( 563 × 825 × 786 ) / 3

LCM(563,825,786) = 365077350 / 3

LCM(563,825,786) = 121692450


Lets's calculate GCF of 28,60,50

2 28, 60, 50
14, 30, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121692450/2

Therefore the LCM of Fractions 563/28,825/60,786/50 is 60846225

Greatest Common Factor of 28,60,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,60,50 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Greatest Common Factor

We found the factors 28,60,50 . The biggest common factor number is the GCF number.
So the greatest common factor 28,60,50 is 2.


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 563/28, 825/60, 786/50

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 563/28, 825/60, 786/50?

Answer: LCM of Numerators as per given numbers 563/28, 825/60, 786/50 is

LCM of Numerators i.e. for 563,825,786 is 121692450

GCF of denominators i.e. for 28,60,50 is 2.

Thus, LCM of Fractions is 60846225.Finally, LCM of Fractions for 563/28, 825/60, 786/50 is 60846225.