Least Common Multiple of 38/93, 48/71, 61/46, 30/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/93, 48/71, 61/46, 30/204 quickly i.e. 278160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/93, 48/71, 61/46, 30/204 is 278160.

LCM(38/93, 48/71, 61/46, 30/204) = 278160

LCM of 38/93, 48/71, 61/46, 30/204

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 38/93,48/71,61/46,30/204

Given numbers are 38/93,48/71,61/46,30/204

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 38,48,61,30

Least Common Multiple of Numerators i.e. LCM of 38,48,61,30 is 278160.

GCF of Denominators means GCF of 93,71,46,204 as per the given fractions.

GCF of 93,71,46,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,48,61,30

LCM of Fractions 38/93,48/71,61/46,30/204 is 278160

2 38, 48, 61, 30
3 19, 24, 61, 15
19, 8, 61, 5

∴ So the LCM of the given numbers is 2 x 3 x 19 x 8 x 61 x 5 = 278160

Least Common Multiple of 38,48,61,30 with GCF Formula

Least Common Multiple of 38,48,61,30 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 38,48,61,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,48,61,30) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(38,48,61,30) x common factors =1 x 12 = 12

LCM(38,48,61,30) = ( 38 × 48 × 61 × 30 ) / 12

LCM(38,48,61,30) = 3337920 / 12

LCM(38,48,61,30) = 278160


Lets's calculate GCF of 93,71,46,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278160/1

Therefore the LCM of Fractions 38/93,48/71,61/46,30/204 is 278160

Greatest Common Factor of 93,71,46,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,71,46,204 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 71

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

1,71

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 93,71,46,204 . The biggest common factor number is the GCF number.
So the greatest common factor 93,71,46,204 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 38/93, 48/71, 61/46, 30/204

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 38/93, 48/71, 61/46, 30/204?

Answer: LCM of Numerators as per given numbers 38/93, 48/71, 61/46, 30/204 is

LCM of Numerators i.e. for 38,48,61,30 is 278160

GCF of denominators i.e. for 93,71,46,204 is 1.

Thus, LCM of Fractions is 278160.Finally, LCM of Fractions for 38/93, 48/71, 61/46, 30/204 is 278160.