Least Common Multiple of 22/838, 3918/5334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/838, 3918/5334 quickly i.e. 21549 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/838, 3918/5334 is 21549.

LCM(22/838, 3918/5334) = 21549

LCM of 22/838, 3918/5334

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 22/838,3918/5334

Given numbers are 22/838,3918/5334

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 22,3918

Least Common Multiple of Numerators i.e. LCM of 22,3918 is 43098.

GCF of Denominators means GCF of 838,5334 as per the given fractions.

GCF of 838,5334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,3918

LCM of Fractions 22/838,3918/5334 is 21549

2 22, 3918
11, 1959

∴ So the LCM of the given numbers is 2 x 11 x 1959 = 43098

Least Common Multiple of 22,3918 with GCF Formula

Least Common Multiple of 22,3918 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 22,3918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,3918) = 2

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

GCF(22,3918) x common factors =2 x 1 = 2

LCM(22,3918) = ( 22 × 3918 ) / 2

LCM(22,3918) = 86196 / 2

LCM(22,3918) = 43098


Lets's calculate GCF of 838,5334

2 838, 5334
419, 2667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43098/2

Therefore the LCM of Fractions 22/838,3918/5334 is 21549

Greatest Common Factor of 838,5334 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,5334 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Greatest Common Factor

We found the factors 838,5334 . The biggest common factor number is the GCF number.
So the greatest common factor 838,5334 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/838, 3918/5334

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 22/838, 3918/5334?

Answer: LCM of Numerators as per given numbers 22/838, 3918/5334 is

LCM of Numerators i.e. for 22,3918 is 43098

GCF of denominators i.e. for 838,5334 is 2.

Thus, LCM of Fractions is 21549.Finally, LCM of Fractions for 22/838, 3918/5334 is 21549.