Least Common Multiple of 38/240, 782/100, 323/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/240, 782/100, 323/695 quickly i.e. 14858/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/240, 782/100, 323/695 is 14858/5.

LCM(38/240, 782/100, 323/695) = 14858/5

LCM of 38/240, 782/100, 323/695

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 38/240,782/100,323/695

Given numbers are 38/240,782/100,323/695

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 38,782,323

Least Common Multiple of Numerators i.e. LCM of 38,782,323 is 14858.

GCF of Denominators means GCF of 240,100,695 as per the given fractions.

GCF of 240,100,695 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,782,323

LCM of Fractions 38/240,782/100,323/695 is 14858/5

2 38, 782, 323
17 19, 391, 323
19 19, 23, 19
1, 23, 1

∴ So the LCM of the given numbers is 2 x 17 x 19 x 1 x 23 x 1 = 14858

Least Common Multiple of 38,782,323 with GCF Formula

Least Common Multiple of 38,782,323 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 38,782,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,782,323) = 1

common factors(in case of two or more numbers have common factors) = 646

GCF(38,782,323) x common factors =1 x 646 = 646

LCM(38,782,323) = ( 38 × 782 × 323 ) / 646

LCM(38,782,323) = 9598268 / 646

LCM(38,782,323) = 14858


Lets's calculate GCF of 240,100,695

5 240, 100, 695
48, 20, 139

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14858/5

Therefore the LCM of Fractions 38/240,782/100,323/695 is 14858/5

Greatest Common Factor of 240,100,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,100,695 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 240,100,695 . The biggest common factor number is the GCF number.
So the greatest common factor 240,100,695 is 5.


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 38/240, 782/100, 323/695

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 38/240, 782/100, 323/695?

Answer: LCM of Numerators as per given numbers 38/240, 782/100, 323/695 is

LCM of Numerators i.e. for 38,782,323 is 14858

GCF of denominators i.e. for 240,100,695 is 5.

Thus, LCM of Fractions is 14858/5.Finally, LCM of Fractions for 38/240, 782/100, 323/695 is 14858/5.