Least Common Multiple of 438/892, 2286/7041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/892, 2286/7041 quickly i.e. 166878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/892, 2286/7041 is 166878.

LCM(438/892, 2286/7041) = 166878

LCM of 438/892, 2286/7041

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 438/892,2286/7041

Given numbers are 438/892,2286/7041

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 438,2286

Least Common Multiple of Numerators i.e. LCM of 438,2286 is 166878.

GCF of Denominators means GCF of 892,7041 as per the given fractions.

GCF of 892,7041 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,2286

LCM of Fractions 438/892,2286/7041 is 166878

2 438, 2286
3 219, 1143
73, 381

∴ So the LCM of the given numbers is 2 x 3 x 73 x 381 = 166878

Least Common Multiple of 438,2286 with GCF Formula

Least Common Multiple of 438,2286 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 438,2286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,2286) = 6

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

GCF(438,2286) x common factors =6 x 1 = 6

LCM(438,2286) = ( 438 × 2286 ) / 6

LCM(438,2286) = 1001268 / 6

LCM(438,2286) = 166878


Lets's calculate GCF of 892,7041

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166878/1

Therefore the LCM of Fractions 438/892,2286/7041 is 166878

Greatest Common Factor of 892,7041 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,7041 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 7041

List of positive integer factors of 7041 that divides 7041 without a remainder.

1,3,2347,7041

Greatest Common Factor

We found the factors 892,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 892,7041 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 438/892, 2286/7041

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 438/892, 2286/7041?

Answer: LCM of Numerators as per given numbers 438/892, 2286/7041 is

LCM of Numerators i.e. for 438,2286 is 166878

GCF of denominators i.e. for 892,7041 is 1.

Thus, LCM of Fractions is 166878.Finally, LCM of Fractions for 438/892, 2286/7041 is 166878.