Least Common Multiple of 599/786, 303/625, 228/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 599/786, 303/625, 228/375 quickly i.e. 13793772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 599/786, 303/625, 228/375 is 13793772.

LCM(599/786, 303/625, 228/375) = 13793772

LCM of 599/786, 303/625, 228/375

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 599/786,303/625,228/375

Given numbers are 599/786,303/625,228/375

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 599,303,228

Least Common Multiple of Numerators i.e. LCM of 599,303,228 is 13793772.

GCF of Denominators means GCF of 786,625,375 as per the given fractions.

GCF of 786,625,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 599,303,228

LCM of Fractions 599/786,303/625,228/375 is 13793772

3 599, 303, 228
599, 101, 76

∴ So the LCM of the given numbers is 3 x 599 x 101 x 76 = 13793772

Least Common Multiple of 599,303,228 with GCF Formula

Least Common Multiple of 599,303,228 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 599,303,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,303,228) = 1

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

GCF(599,303,228) x common factors =1 x 3 = 3

LCM(599,303,228) = ( 599 × 303 × 228 ) / 3

LCM(599,303,228) = 41381316 / 3

LCM(599,303,228) = 13793772


Lets's calculate GCF of 786,625,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13793772/1

Therefore the LCM of Fractions 599/786,303/625,228/375 is 13793772

Greatest Common Factor of 786,625,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,625,375 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 786,625,375 . The biggest common factor number is the GCF number.
So the greatest common factor 786,625,375 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 599/786, 303/625, 228/375

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 599/786, 303/625, 228/375?

Answer: LCM of Numerators as per given numbers 599/786, 303/625, 228/375 is

LCM of Numerators i.e. for 599,303,228 is 13793772

GCF of denominators i.e. for 786,625,375 is 1.

Thus, LCM of Fractions is 13793772.Finally, LCM of Fractions for 599/786, 303/625, 228/375 is 13793772.