Least Common Multiple of 428/40, 820/18, 287/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/40, 820/18, 287/454 quickly i.e. 307090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/40, 820/18, 287/454 is 307090.

LCM(428/40, 820/18, 287/454) = 307090

LCM of 428/40, 820/18, 287/454

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 428/40,820/18,287/454

Given numbers are 428/40,820/18,287/454

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 428,820,287

Least Common Multiple of Numerators i.e. LCM of 428,820,287 is 614180.

GCF of Denominators means GCF of 40,18,454 as per the given fractions.

GCF of 40,18,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,820,287

LCM of Fractions 428/40,820/18,287/454 is 307090

2 428, 820, 287
2 214, 410, 287
41 107, 205, 287
107, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 41 x 107 x 5 x 7 = 614180

Least Common Multiple of 428,820,287 with GCF Formula

Least Common Multiple of 428,820,287 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 428,820,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,820,287) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(428,820,287) x common factors =1 x 164 = 164

LCM(428,820,287) = ( 428 × 820 × 287 ) / 164

LCM(428,820,287) = 100725520 / 164

LCM(428,820,287) = 614180


Lets's calculate GCF of 40,18,454

2 40, 18, 454
20, 9, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614180/2

Therefore the LCM of Fractions 428/40,820/18,287/454 is 307090

Greatest Common Factor of 40,18,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,18,454 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 40,18,454 . The biggest common factor number is the GCF number.
So the greatest common factor 40,18,454 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 428/40, 820/18, 287/454

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 428/40, 820/18, 287/454?

Answer: LCM of Numerators as per given numbers 428/40, 820/18, 287/454 is

LCM of Numerators i.e. for 428,820,287 is 614180

GCF of denominators i.e. for 40,18,454 is 2.

Thus, LCM of Fractions is 307090.Finally, LCM of Fractions for 428/40, 820/18, 287/454 is 307090.