Least Common Multiple of 339/48, 627/44, 737/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 339/48, 627/44, 737/576 quickly i.e. 4747017/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/48, 627/44, 737/576 is 4747017/4.

LCM(339/48, 627/44, 737/576) = 4747017/4

LCM of 339/48, 627/44, 737/576

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 339/48,627/44,737/576

Given numbers are 339/48,627/44,737/576

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 339,627,737

Least Common Multiple of Numerators i.e. LCM of 339,627,737 is 4747017.

GCF of Denominators means GCF of 48,44,576 as per the given fractions.

GCF of 48,44,576 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,627,737

LCM of Fractions 339/48,627/44,737/576 is 4747017/4

3 339, 627, 737
11 113, 209, 737
113, 19, 67

∴ So the LCM of the given numbers is 3 x 11 x 113 x 19 x 67 = 4747017

Least Common Multiple of 339,627,737 with GCF Formula

Least Common Multiple of 339,627,737 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 339,627,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,627,737) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(339,627,737) x common factors =1 x 33 = 33

LCM(339,627,737) = ( 339 × 627 × 737 ) / 33

LCM(339,627,737) = 156651561 / 33

LCM(339,627,737) = 4747017


Lets's calculate GCF of 48,44,576

2 48, 44, 576
2 24, 22, 288
12, 11, 144

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4747017/4

Therefore the LCM of Fractions 339/48,627/44,737/576 is 4747017/4

Greatest Common Factor of 48,44,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,44,576 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 48,44,576 . The biggest common factor number is the GCF number.
So the greatest common factor 48,44,576 is 4.


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 339/48, 627/44, 737/576

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 339/48, 627/44, 737/576?

Answer: LCM of Numerators as per given numbers 339/48, 627/44, 737/576 is

LCM of Numerators i.e. for 339,627,737 is 4747017

GCF of denominators i.e. for 48,44,576 is 4.

Thus, LCM of Fractions is 4747017/4.Finally, LCM of Fractions for 339/48, 627/44, 737/576 is 4747017/4.