Least Common Multiple of 37/48, 23/22, 760/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/48, 23/22, 760/808 quickly i.e. 323380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/48, 23/22, 760/808 is 323380.

LCM(37/48, 23/22, 760/808) = 323380

LCM of 37/48, 23/22, 760/808

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 37/48,23/22,760/808

Given numbers are 37/48,23/22,760/808

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 37,23,760

Least Common Multiple of Numerators i.e. LCM of 37,23,760 is 646760.

GCF of Denominators means GCF of 48,22,808 as per the given fractions.

GCF of 48,22,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,23,760

LCM of Fractions 37/48,23/22,760/808 is 323380

Given numbers has no common factors except 1. So, there LCM is their product i.e 646760

Least Common Multiple of 37,23,760 with GCF Formula

Least Common Multiple of 37,23,760 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 37,23,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,23,760) = 1

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

GCF(37,23,760) x common factors =1 x 1 = 1

LCM(37,23,760) = ( 37 × 23 × 760 ) / 1

LCM(37,23,760) = 646760 / 1

LCM(37,23,760) = 646760


Lets's calculate GCF of 48,22,808

2 48, 22, 808
24, 11, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646760/2

Therefore the LCM of Fractions 37/48,23/22,760/808 is 323380

Greatest Common Factor of 48,22,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,22,808 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 48,22,808 . The biggest common factor number is the GCF number.
So the greatest common factor 48,22,808 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 37/48, 23/22, 760/808

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 37/48, 23/22, 760/808?

Answer: LCM of Numerators as per given numbers 37/48, 23/22, 760/808 is

LCM of Numerators i.e. for 37,23,760 is 646760

GCF of denominators i.e. for 48,22,808 is 2.

Thus, LCM of Fractions is 323380.Finally, LCM of Fractions for 37/48, 23/22, 760/808 is 323380.