Least Common Multiple of 37/844, 1909/2838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/844, 1909/2838 quickly i.e. 70633/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/844, 1909/2838 is 70633/2.

LCM(37/844, 1909/2838) = 70633/2

LCM of 37/844, 1909/2838

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 37/844,1909/2838

Given numbers are 37/844,1909/2838

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 37,1909

Least Common Multiple of Numerators i.e. LCM of 37,1909 is 70633.

GCF of Denominators means GCF of 844,2838 as per the given fractions.

GCF of 844,2838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,1909

LCM of Fractions 37/844,1909/2838 is 70633/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 70633

Least Common Multiple of 37,1909 with GCF Formula

Least Common Multiple of 37,1909 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 37,1909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,1909) = 1

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

GCF(37,1909) x common factors =1 x 1 = 1

LCM(37,1909) = ( 37 × 1909 ) / 1

LCM(37,1909) = 70633 / 1

LCM(37,1909) = 70633


Lets's calculate GCF of 844,2838

2 844, 2838
422, 1419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70633/2

Therefore the LCM of Fractions 37/844,1909/2838 is 70633/2

Greatest Common Factor of 844,2838 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,2838 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 2838

List of positive integer factors of 2838 that divides 2838 without a remainder.

1,2,3,6,11,22,33,43,66,86,129,258,473,946,1419,2838

Greatest Common Factor

We found the factors 844,2838 . The biggest common factor number is the GCF number.
So the greatest common factor 844,2838 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 37/844, 1909/2838

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 37/844, 1909/2838?

Answer: LCM of Numerators as per given numbers 37/844, 1909/2838 is

LCM of Numerators i.e. for 37,1909 is 70633

GCF of denominators i.e. for 844,2838 is 2.

Thus, LCM of Fractions is 70633/2.Finally, LCM of Fractions for 37/844, 1909/2838 is 70633/2.