Least Common Multiple of 37/466, 2764/4608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/466, 2764/4608 quickly i.e. 51134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/466, 2764/4608 is 51134.

LCM(37/466, 2764/4608) = 51134

LCM of 37/466, 2764/4608

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 37/466,2764/4608

Given numbers are 37/466,2764/4608

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 37,2764

Least Common Multiple of Numerators i.e. LCM of 37,2764 is 102268.

GCF of Denominators means GCF of 466,4608 as per the given fractions.

GCF of 466,4608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,2764

LCM of Fractions 37/466,2764/4608 is 51134

Given numbers has no common factors except 1. So, there LCM is their product i.e 102268

Least Common Multiple of 37,2764 with GCF Formula

Least Common Multiple of 37,2764 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 37,2764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,2764) = 1

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

GCF(37,2764) x common factors =1 x 1 = 1

LCM(37,2764) = ( 37 × 2764 ) / 1

LCM(37,2764) = 102268 / 1

LCM(37,2764) = 102268


Lets's calculate GCF of 466,4608

2 466, 4608
233, 2304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102268/2

Therefore the LCM of Fractions 37/466,2764/4608 is 51134

Greatest Common Factor of 466,4608 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,4608 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608

Greatest Common Factor

We found the factors 466,4608 . The biggest common factor number is the GCF number.
So the greatest common factor 466,4608 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 37/466, 2764/4608

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 37/466, 2764/4608?

Answer: LCM of Numerators as per given numbers 37/466, 2764/4608 is

LCM of Numerators i.e. for 37,2764 is 102268

GCF of denominators i.e. for 466,4608 is 2.

Thus, LCM of Fractions is 51134.Finally, LCM of Fractions for 37/466, 2764/4608 is 51134.