Least Common Multiple of 83/378, 11/471, 648/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/378, 11/471, 648/183 quickly i.e. 197208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/378, 11/471, 648/183 is 197208.

LCM(83/378, 11/471, 648/183) = 197208

LCM of 83/378, 11/471, 648/183

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 83/378,11/471,648/183

Given numbers are 83/378,11/471,648/183

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 83,11,648

Least Common Multiple of Numerators i.e. LCM of 83,11,648 is 591624.

GCF of Denominators means GCF of 378,471,183 as per the given fractions.

GCF of 378,471,183 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,11,648

LCM of Fractions 83/378,11/471,648/183 is 197208

Given numbers has no common factors except 1. So, there LCM is their product i.e 591624

Least Common Multiple of 83,11,648 with GCF Formula

Least Common Multiple of 83,11,648 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 83,11,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,11,648) = 1

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

GCF(83,11,648) x common factors =1 x 1 = 1

LCM(83,11,648) = ( 83 × 11 × 648 ) / 1

LCM(83,11,648) = 591624 / 1

LCM(83,11,648) = 591624


Lets's calculate GCF of 378,471,183

3 378, 471, 183
126, 157, 61

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591624/3

Therefore the LCM of Fractions 83/378,11/471,648/183 is 197208

Greatest Common Factor of 378,471,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,471,183 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 378,471,183 . The biggest common factor number is the GCF number.
So the greatest common factor 378,471,183 is 3.


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 83/378, 11/471, 648/183

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 83/378, 11/471, 648/183?

Answer: LCM of Numerators as per given numbers 83/378, 11/471, 648/183 is

LCM of Numerators i.e. for 83,11,648 is 591624

GCF of denominators i.e. for 378,471,183 is 3.

Thus, LCM of Fractions is 197208.Finally, LCM of Fractions for 83/378, 11/471, 648/183 is 197208.