Least Common Multiple of 37/104, 2871/4618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/104, 2871/4618 quickly i.e. 106227/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/104, 2871/4618 is 106227/2.

LCM(37/104, 2871/4618) = 106227/2

LCM of 37/104, 2871/4618

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 37/104,2871/4618

Given numbers are 37/104,2871/4618

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 37,2871

Least Common Multiple of Numerators i.e. LCM of 37,2871 is 106227.

GCF of Denominators means GCF of 104,4618 as per the given fractions.

GCF of 104,4618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,2871

LCM of Fractions 37/104,2871/4618 is 106227/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 106227

Least Common Multiple of 37,2871 with GCF Formula

Least Common Multiple of 37,2871 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 37,2871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,2871) = 1

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

GCF(37,2871) x common factors =1 x 1 = 1

LCM(37,2871) = ( 37 × 2871 ) / 1

LCM(37,2871) = 106227 / 1

LCM(37,2871) = 106227


Lets's calculate GCF of 104,4618

2 104, 4618
52, 2309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106227/2

Therefore the LCM of Fractions 37/104,2871/4618 is 106227/2

Greatest Common Factor of 104,4618 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,4618 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 4618

List of positive integer factors of 4618 that divides 4618 without a remainder.

1,2,2309,4618

Greatest Common Factor

We found the factors 104,4618 . The biggest common factor number is the GCF number.
So the greatest common factor 104,4618 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 37/104, 2871/4618

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 37/104, 2871/4618?

Answer: LCM of Numerators as per given numbers 37/104, 2871/4618 is

LCM of Numerators i.e. for 37,2871 is 106227

GCF of denominators i.e. for 104,4618 is 2.

Thus, LCM of Fractions is 106227/2.Finally, LCM of Fractions for 37/104, 2871/4618 is 106227/2.