Least Common Multiple of 30/111, 70/296, 398/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/111, 70/296, 398/206 quickly i.e. 41790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/111, 70/296, 398/206 is 41790.

LCM(30/111, 70/296, 398/206) = 41790

LCM of 30/111, 70/296, 398/206

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 30/111,70/296,398/206

Given numbers are 30/111,70/296,398/206

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 30,70,398

Least Common Multiple of Numerators i.e. LCM of 30,70,398 is 41790.

GCF of Denominators means GCF of 111,296,206 as per the given fractions.

GCF of 111,296,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,70,398

LCM of Fractions 30/111,70/296,398/206 is 41790

2 30, 70, 398
5 15, 35, 199
3, 7, 199

∴ So the LCM of the given numbers is 2 x 5 x 3 x 7 x 199 = 41790

Least Common Multiple of 30,70,398 with GCF Formula

Least Common Multiple of 30,70,398 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 30,70,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,70,398) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(30,70,398) x common factors =2 x 10 = 20

LCM(30,70,398) = ( 30 × 70 × 398 ) / 20

LCM(30,70,398) = 835800 / 20

LCM(30,70,398) = 41790


Lets's calculate GCF of 111,296,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41790/1

Therefore the LCM of Fractions 30/111,70/296,398/206 is 41790

Greatest Common Factor of 111,296,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,296,206 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 111,296,206 . The biggest common factor number is the GCF number.
So the greatest common factor 111,296,206 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 30/111, 70/296, 398/206

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 30/111, 70/296, 398/206?

Answer: LCM of Numerators as per given numbers 30/111, 70/296, 398/206 is

LCM of Numerators i.e. for 30,70,398 is 41790

GCF of denominators i.e. for 111,296,206 is 1.

Thus, LCM of Fractions is 41790.Finally, LCM of Fractions for 30/111, 70/296, 398/206 is 41790.