Least Common Multiple of 428/82, 378/57, 303/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/82, 378/57, 303/782 quickly i.e. 8170092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/82, 378/57, 303/782 is 8170092.

LCM(428/82, 378/57, 303/782) = 8170092

LCM of 428/82, 378/57, 303/782

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 428/82,378/57,303/782

Given numbers are 428/82,378/57,303/782

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 428,378,303

Least Common Multiple of Numerators i.e. LCM of 428,378,303 is 8170092.

GCF of Denominators means GCF of 82,57,782 as per the given fractions.

GCF of 82,57,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,378,303

LCM of Fractions 428/82,378/57,303/782 is 8170092

2 428, 378, 303
3 214, 189, 303
214, 63, 101

∴ So the LCM of the given numbers is 2 x 3 x 214 x 63 x 101 = 8170092

Least Common Multiple of 428,378,303 with GCF Formula

Least Common Multiple of 428,378,303 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 428,378,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,378,303) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(428,378,303) x common factors =1 x 6 = 6

LCM(428,378,303) = ( 428 × 378 × 303 ) / 6

LCM(428,378,303) = 49020552 / 6

LCM(428,378,303) = 8170092


Lets's calculate GCF of 82,57,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8170092/1

Therefore the LCM of Fractions 428/82,378/57,303/782 is 8170092

Greatest Common Factor of 82,57,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,57,782 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 82,57,782 . The biggest common factor number is the GCF number.
So the greatest common factor 82,57,782 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 428/82, 378/57, 303/782

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 428/82, 378/57, 303/782?

Answer: LCM of Numerators as per given numbers 428/82, 378/57, 303/782 is

LCM of Numerators i.e. for 428,378,303 is 8170092

GCF of denominators i.e. for 82,57,782 is 1.

Thus, LCM of Fractions is 8170092.Finally, LCM of Fractions for 428/82, 378/57, 303/782 is 8170092.