Least Common Multiple of 838/892, 212/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/892, 212/906 quickly i.e. 44414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/892, 212/906 is 44414.

LCM(838/892, 212/906) = 44414

LCM of 838/892, 212/906

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 838/892,212/906

Given numbers are 838/892,212/906

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 838,212

Least Common Multiple of Numerators i.e. LCM of 838,212 is 88828.

GCF of Denominators means GCF of 892,906 as per the given fractions.

GCF of 892,906 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,212

LCM of Fractions 838/892,212/906 is 44414

2 838, 212
419, 106

∴ So the LCM of the given numbers is 2 x 419 x 106 = 88828

Least Common Multiple of 838,212 with GCF Formula

Least Common Multiple of 838,212 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 838,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,212) = 2

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

GCF(838,212) x common factors =2 x 1 = 2

LCM(838,212) = ( 838 × 212 ) / 2

LCM(838,212) = 177656 / 2

LCM(838,212) = 88828


Lets's calculate GCF of 892,906

2 892, 906
446, 453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88828/2

Therefore the LCM of Fractions 838/892,212/906 is 44414

Greatest Common Factor of 892,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,906 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 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 892,906 . The biggest common factor number is the GCF number.
So the greatest common factor 892,906 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 838/892, 212/906

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 838/892, 212/906?

Answer: LCM of Numerators as per given numbers 838/892, 212/906 is

LCM of Numerators i.e. for 838,212 is 88828

GCF of denominators i.e. for 892,906 is 2.

Thus, LCM of Fractions is 44414.Finally, LCM of Fractions for 838/892, 212/906 is 44414.