Least Common Multiple of 617/31, 308/34, 302/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/31, 308/34, 302/38 quickly i.e. 28695436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/31, 308/34, 302/38 is 28695436.

LCM(617/31, 308/34, 302/38) = 28695436

LCM of 617/31, 308/34, 302/38

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 617/31,308/34,302/38

Given numbers are 617/31,308/34,302/38

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 617,308,302

Least Common Multiple of Numerators i.e. LCM of 617,308,302 is 28695436.

GCF of Denominators means GCF of 31,34,38 as per the given fractions.

GCF of 31,34,38 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,308,302

LCM of Fractions 617/31,308/34,302/38 is 28695436

2 617, 308, 302
617, 154, 151

∴ So the LCM of the given numbers is 2 x 617 x 154 x 151 = 28695436

Least Common Multiple of 617,308,302 with GCF Formula

Least Common Multiple of 617,308,302 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 617,308,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,308,302) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(617,308,302) x common factors =1 x 2 = 2

LCM(617,308,302) = ( 617 × 308 × 302 ) / 2

LCM(617,308,302) = 57390872 / 2

LCM(617,308,302) = 28695436


Lets's calculate GCF of 31,34,38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28695436/1

Therefore the LCM of Fractions 617/31,308/34,302/38 is 28695436

Greatest Common Factor of 31,34,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,34,38 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 31,34,38 . The biggest common factor number is the GCF number.
So the greatest common factor 31,34,38 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 617/31, 308/34, 302/38

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 617/31, 308/34, 302/38?

Answer: LCM of Numerators as per given numbers 617/31, 308/34, 302/38 is

LCM of Numerators i.e. for 617,308,302 is 28695436

GCF of denominators i.e. for 31,34,38 is 1.

Thus, LCM of Fractions is 28695436.Finally, LCM of Fractions for 617/31, 308/34, 302/38 is 28695436.