Least Common Multiple of 284/826, 428/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/826, 428/271 quickly i.e. 30388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/826, 428/271 is 30388.

LCM(284/826, 428/271) = 30388

LCM of 284/826, 428/271

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 284/826,428/271

Given numbers are 284/826,428/271

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 284,428

Least Common Multiple of Numerators i.e. LCM of 284,428 is 30388.

GCF of Denominators means GCF of 826,271 as per the given fractions.

GCF of 826,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,428

LCM of Fractions 284/826,428/271 is 30388

2 284, 428
2 142, 214
71, 107

∴ So the LCM of the given numbers is 2 x 2 x 71 x 107 = 30388

Least Common Multiple of 284,428 with GCF Formula

Least Common Multiple of 284,428 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 284,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,428) = 4

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

GCF(284,428) x common factors =4 x 1 = 4

LCM(284,428) = ( 284 × 428 ) / 4

LCM(284,428) = 121552 / 4

LCM(284,428) = 30388


Lets's calculate GCF of 826,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30388/1

Therefore the LCM of Fractions 284/826,428/271 is 30388

Greatest Common Factor of 826,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,271 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 826,271 . The biggest common factor number is the GCF number.
So the greatest common factor 826,271 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 284/826, 428/271

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 284/826, 428/271?

Answer: LCM of Numerators as per given numbers 284/826, 428/271 is

LCM of Numerators i.e. for 284,428 is 30388

GCF of denominators i.e. for 826,271 is 1.

Thus, LCM of Fractions is 30388.Finally, LCM of Fractions for 284/826, 428/271 is 30388.