Least Common Multiple of 1022/936, 3838/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1022/936, 3838/810 quickly i.e. 1961218/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1022/936, 3838/810 is 1961218/18.

LCM(1022/936, 3838/810) = 1961218/18

LCM of 1022/936, 3838/810

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 1022/936,3838/810

Given numbers are 1022/936,3838/810

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 1022,3838

Least Common Multiple of Numerators i.e. LCM of 1022,3838 is 1961218.

GCF of Denominators means GCF of 936,810 as per the given fractions.

GCF of 936,810 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1022,3838

LCM of Fractions 1022/936,3838/810 is 1961218/18

2 1022, 3838
511, 1919

∴ So the LCM of the given numbers is 2 x 511 x 1919 = 1961218

Least Common Multiple of 1022,3838 with GCF Formula

Least Common Multiple of 1022,3838 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 1022,3838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1022,3838) = 2

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

GCF(1022,3838) x common factors =2 x 1 = 2

LCM(1022,3838) = ( 1022 × 3838 ) / 2

LCM(1022,3838) = 3922436 / 2

LCM(1022,3838) = 1961218


Lets's calculate GCF of 936,810

2 936, 810
3 468, 405
3 156, 135
52, 45

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1961218/18

Therefore the LCM of Fractions 1022/936,3838/810 is 1961218/18

Greatest Common Factor of 936,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,810 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 936,810 . The biggest common factor number is the GCF number.
So the greatest common factor 936,810 is 18.


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 1022/936, 3838/810

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 1022/936, 3838/810?

Answer: LCM of Numerators as per given numbers 1022/936, 3838/810 is

LCM of Numerators i.e. for 1022,3838 is 1961218

GCF of denominators i.e. for 936,810 is 18.

Thus, LCM of Fractions is 1961218/18.Finally, LCM of Fractions for 1022/936, 3838/810 is 1961218/18.