Least Common Multiple of 301/34, 805/25, 605/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/34, 805/25, 605/38 quickly i.e. 4188415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/34, 805/25, 605/38 is 4188415.

LCM(301/34, 805/25, 605/38) = 4188415

LCM of 301/34, 805/25, 605/38

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 301/34,805/25,605/38

Given numbers are 301/34,805/25,605/38

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 301,805,605

Least Common Multiple of Numerators i.e. LCM of 301,805,605 is 4188415.

GCF of Denominators means GCF of 34,25,38 as per the given fractions.

GCF of 34,25,38 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,805,605

LCM of Fractions 301/34,805/25,605/38 is 4188415

5 301, 805, 605
7 301, 161, 121
43, 23, 121

∴ So the LCM of the given numbers is 5 x 7 x 43 x 23 x 121 = 4188415

Least Common Multiple of 301,805,605 with GCF Formula

Least Common Multiple of 301,805,605 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 301,805,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,805,605) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(301,805,605) x common factors =1 x 35 = 35

LCM(301,805,605) = ( 301 × 805 × 605 ) / 35

LCM(301,805,605) = 146594525 / 35

LCM(301,805,605) = 4188415


Lets's calculate GCF of 34,25,38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4188415/1

Therefore the LCM of Fractions 301/34,805/25,605/38 is 4188415

Greatest Common Factor of 34,25,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,25,38 By Matching Biggest Common Factor Method

Factors of 34

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

1,2,17,34

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 34,25,38 . The biggest common factor number is the GCF number.
So the greatest common factor 34,25,38 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 301/34, 805/25, 605/38

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 301/34, 805/25, 605/38?

Answer: LCM of Numerators as per given numbers 301/34, 805/25, 605/38 is

LCM of Numerators i.e. for 301,805,605 is 4188415

GCF of denominators i.e. for 34,25,38 is 1.

Thus, LCM of Fractions is 4188415.Finally, LCM of Fractions for 301/34, 805/25, 605/38 is 4188415.