Least Common Multiple of 83/380, 40/597, 666/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/380, 40/597, 666/665 quickly i.e. 1105560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/380, 40/597, 666/665 is 1105560.

LCM(83/380, 40/597, 666/665) = 1105560

LCM of 83/380, 40/597, 666/665

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 83/380,40/597,666/665

Given numbers are 83/380,40/597,666/665

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 83,40,666

Least Common Multiple of Numerators i.e. LCM of 83,40,666 is 1105560.

GCF of Denominators means GCF of 380,597,665 as per the given fractions.

GCF of 380,597,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,40,666

LCM of Fractions 83/380,40/597,666/665 is 1105560

2 83, 40, 666
83, 20, 333

∴ So the LCM of the given numbers is 2 x 83 x 20 x 333 = 1105560

Least Common Multiple of 83,40,666 with GCF Formula

Least Common Multiple of 83,40,666 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 83,40,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,40,666) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,40,666) x common factors =1 x 2 = 2

LCM(83,40,666) = ( 83 × 40 × 666 ) / 2

LCM(83,40,666) = 2211120 / 2

LCM(83,40,666) = 1105560


Lets's calculate GCF of 380,597,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105560/1

Therefore the LCM of Fractions 83/380,40/597,666/665 is 1105560

Greatest Common Factor of 380,597,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,597,665 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 380,597,665 . The biggest common factor number is the GCF number.
So the greatest common factor 380,597,665 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 83/380, 40/597, 666/665

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 83/380, 40/597, 666/665?

Answer: LCM of Numerators as per given numbers 83/380, 40/597, 666/665 is

LCM of Numerators i.e. for 83,40,666 is 1105560

GCF of denominators i.e. for 380,597,665 is 1.

Thus, LCM of Fractions is 1105560.Finally, LCM of Fractions for 83/380, 40/597, 666/665 is 1105560.