Least Common Multiple of 30/38, 351/71, 319/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/38, 351/71, 319/904 quickly i.e. 1119690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/38, 351/71, 319/904 is 1119690.

LCM(30/38, 351/71, 319/904) = 1119690

LCM of 30/38, 351/71, 319/904

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 30/38,351/71,319/904

Given numbers are 30/38,351/71,319/904

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 30,351,319

Least Common Multiple of Numerators i.e. LCM of 30,351,319 is 1119690.

GCF of Denominators means GCF of 38,71,904 as per the given fractions.

GCF of 38,71,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,351,319

LCM of Fractions 30/38,351/71,319/904 is 1119690

3 30, 351, 319
10, 117, 319

∴ So the LCM of the given numbers is 3 x 10 x 117 x 319 = 1119690

Least Common Multiple of 30,351,319 with GCF Formula

Least Common Multiple of 30,351,319 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 30,351,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,351,319) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,351,319) x common factors =1 x 3 = 3

LCM(30,351,319) = ( 30 × 351 × 319 ) / 3

LCM(30,351,319) = 3359070 / 3

LCM(30,351,319) = 1119690


Lets's calculate GCF of 38,71,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1119690/1

Therefore the LCM of Fractions 30/38,351/71,319/904 is 1119690

Greatest Common Factor of 38,71,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,71,904 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 38,71,904 . The biggest common factor number is the GCF number.
So the greatest common factor 38,71,904 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 30/38, 351/71, 319/904

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 30/38, 351/71, 319/904?

Answer: LCM of Numerators as per given numbers 30/38, 351/71, 319/904 is

LCM of Numerators i.e. for 30,351,319 is 1119690

GCF of denominators i.e. for 38,71,904 is 1.

Thus, LCM of Fractions is 1119690.Finally, LCM of Fractions for 30/38, 351/71, 319/904 is 1119690.