Least Common Multiple of 60/205, 3228/3958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/205, 3228/3958 quickly i.e. 16140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/205, 3228/3958 is 16140.

LCM(60/205, 3228/3958) = 16140

LCM of 60/205, 3228/3958

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 60/205,3228/3958

Given numbers are 60/205,3228/3958

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 60,3228

Least Common Multiple of Numerators i.e. LCM of 60,3228 is 16140.

GCF of Denominators means GCF of 205,3958 as per the given fractions.

GCF of 205,3958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,3228

LCM of Fractions 60/205,3228/3958 is 16140

2 60, 3228
2 30, 1614
3 15, 807
5, 269

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 269 = 16140

Least Common Multiple of 60,3228 with GCF Formula

Least Common Multiple of 60,3228 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 60,3228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3228) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(60,3228) x common factors =12 x 1 = 12

LCM(60,3228) = ( 60 × 3228 ) / 12

LCM(60,3228) = 193680 / 12

LCM(60,3228) = 16140


Lets's calculate GCF of 205,3958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16140/1

Therefore the LCM of Fractions 60/205,3228/3958 is 16140

Greatest Common Factor of 205,3958 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,3958 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 3958

List of positive integer factors of 3958 that divides 3958 without a remainder.

1,2,1979,3958

Greatest Common Factor

We found the factors 205,3958 . The biggest common factor number is the GCF number.
So the greatest common factor 205,3958 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 60/205, 3228/3958

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 60/205, 3228/3958?

Answer: LCM of Numerators as per given numbers 60/205, 3228/3958 is

LCM of Numerators i.e. for 60,3228 is 16140

GCF of denominators i.e. for 205,3958 is 1.

Thus, LCM of Fractions is 16140.Finally, LCM of Fractions for 60/205, 3228/3958 is 16140.