Least Common Multiple of 997/36, 348/28, 666/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 997/36, 348/28, 666/386 quickly i.e. 19256058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 997/36, 348/28, 666/386 is 19256058.

LCM(997/36, 348/28, 666/386) = 19256058

LCM of 997/36, 348/28, 666/386

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 997/36,348/28,666/386

Given numbers are 997/36,348/28,666/386

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 997,348,666

Least Common Multiple of Numerators i.e. LCM of 997,348,666 is 38512116.

GCF of Denominators means GCF of 36,28,386 as per the given fractions.

GCF of 36,28,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 997,348,666

LCM of Fractions 997/36,348/28,666/386 is 19256058

2 997, 348, 666
3 997, 174, 333
997, 58, 111

∴ So the LCM of the given numbers is 2 x 3 x 997 x 58 x 111 = 38512116

Least Common Multiple of 997,348,666 with GCF Formula

Least Common Multiple of 997,348,666 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 997,348,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,348,666) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(997,348,666) x common factors =1 x 6 = 6

LCM(997,348,666) = ( 997 × 348 × 666 ) / 6

LCM(997,348,666) = 231072696 / 6

LCM(997,348,666) = 38512116


Lets's calculate GCF of 36,28,386

2 36, 28, 386
18, 14, 193

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38512116/2

Therefore the LCM of Fractions 997/36,348/28,666/386 is 19256058

Greatest Common Factor of 36,28,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,28,386 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 36,28,386 . The biggest common factor number is the GCF number.
So the greatest common factor 36,28,386 is 2.


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 997/36, 348/28, 666/386

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 997/36, 348/28, 666/386?

Answer: LCM of Numerators as per given numbers 997/36, 348/28, 666/386 is

LCM of Numerators i.e. for 997,348,666 is 38512116

GCF of denominators i.e. for 36,28,386 is 2.

Thus, LCM of Fractions is 19256058.Finally, LCM of Fractions for 997/36, 348/28, 666/386 is 19256058.