Least Common Multiple of 38/30, 665/77, 563/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/30, 665/77, 563/352 quickly i.e. 748790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/30, 665/77, 563/352 is 748790.

LCM(38/30, 665/77, 563/352) = 748790

LCM of 38/30, 665/77, 563/352

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 38/30,665/77,563/352

Given numbers are 38/30,665/77,563/352

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 38,665,563

Least Common Multiple of Numerators i.e. LCM of 38,665,563 is 748790.

GCF of Denominators means GCF of 30,77,352 as per the given fractions.

GCF of 30,77,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,665,563

LCM of Fractions 38/30,665/77,563/352 is 748790

19 38, 665, 563
2, 35, 563

∴ So the LCM of the given numbers is 19 x 2 x 35 x 563 = 748790

Least Common Multiple of 38,665,563 with GCF Formula

Least Common Multiple of 38,665,563 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 38,665,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,665,563) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(38,665,563) x common factors =1 x 19 = 19

LCM(38,665,563) = ( 38 × 665 × 563 ) / 19

LCM(38,665,563) = 14227010 / 19

LCM(38,665,563) = 748790


Lets's calculate GCF of 30,77,352

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748790/1

Therefore the LCM of Fractions 38/30,665/77,563/352 is 748790

Greatest Common Factor of 30,77,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,77,352 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 30,77,352 . The biggest common factor number is the GCF number.
So the greatest common factor 30,77,352 is 1.


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 38/30, 665/77, 563/352

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 38/30, 665/77, 563/352?

Answer: LCM of Numerators as per given numbers 38/30, 665/77, 563/352 is

LCM of Numerators i.e. for 38,665,563 is 748790

GCF of denominators i.e. for 30,77,352 is 1.

Thus, LCM of Fractions is 748790.Finally, LCM of Fractions for 38/30, 665/77, 563/352 is 748790.