Least Common Multiple of 428/90, 228/8377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/90, 228/8377 quickly i.e. 24396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/90, 228/8377 is 24396.

LCM(428/90, 228/8377) = 24396

LCM of 428/90, 228/8377

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 428/90,228/8377

Given numbers are 428/90,228/8377

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 428,228

Least Common Multiple of Numerators i.e. LCM of 428,228 is 24396.

GCF of Denominators means GCF of 90,8377 as per the given fractions.

GCF of 90,8377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,228

LCM of Fractions 428/90,228/8377 is 24396

2 428, 228
2 214, 114
107, 57

∴ So the LCM of the given numbers is 2 x 2 x 107 x 57 = 24396

Least Common Multiple of 428,228 with GCF Formula

Least Common Multiple of 428,228 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 428,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,228) = 4

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

GCF(428,228) x common factors =4 x 1 = 4

LCM(428,228) = ( 428 × 228 ) / 4

LCM(428,228) = 97584 / 4

LCM(428,228) = 24396


Lets's calculate GCF of 90,8377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24396/1

Therefore the LCM of Fractions 428/90,228/8377 is 24396

Greatest Common Factor of 90,8377 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,8377 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1,8377

Greatest Common Factor

We found the factors 90,8377 . The biggest common factor number is the GCF number.
So the greatest common factor 90,8377 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 428/90, 228/8377

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 428/90, 228/8377?

Answer: LCM of Numerators as per given numbers 428/90, 228/8377 is

LCM of Numerators i.e. for 428,228 is 24396

GCF of denominators i.e. for 90,8377 is 1.

Thus, LCM of Fractions is 24396.Finally, LCM of Fractions for 428/90, 228/8377 is 24396.