Least Common Multiple of 19/838, 5831/6958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/838, 5831/6958 quickly i.e. 110789/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/838, 5831/6958 is 110789/2.

LCM(19/838, 5831/6958) = 110789/2

LCM of 19/838, 5831/6958

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 19/838,5831/6958

Given numbers are 19/838,5831/6958

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 19,5831

Least Common Multiple of Numerators i.e. LCM of 19,5831 is 110789.

GCF of Denominators means GCF of 838,6958 as per the given fractions.

GCF of 838,6958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,5831

LCM of Fractions 19/838,5831/6958 is 110789/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 110789

Least Common Multiple of 19,5831 with GCF Formula

Least Common Multiple of 19,5831 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 19,5831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,5831) = 1

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

GCF(19,5831) x common factors =1 x 1 = 1

LCM(19,5831) = ( 19 × 5831 ) / 1

LCM(19,5831) = 110789 / 1

LCM(19,5831) = 110789


Lets's calculate GCF of 838,6958

2 838, 6958
419, 3479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110789/2

Therefore the LCM of Fractions 19/838,5831/6958 is 110789/2

Greatest Common Factor of 838,6958 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,6958 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 6958

List of positive integer factors of 6958 that divides 6958 without a remainder.

1,2,7,14,49,71,98,142,497,994,3479,6958

Greatest Common Factor

We found the factors 838,6958 . The biggest common factor number is the GCF number.
So the greatest common factor 838,6958 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 19/838, 5831/6958

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 19/838, 5831/6958?

Answer: LCM of Numerators as per given numbers 19/838, 5831/6958 is

LCM of Numerators i.e. for 19,5831 is 110789

GCF of denominators i.e. for 838,6958 is 2.

Thus, LCM of Fractions is 110789/2.Finally, LCM of Fractions for 19/838, 5831/6958 is 110789/2.