Least Common Multiple of 30/196, 331/496, 321/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/196, 331/496, 321/118 quickly i.e. 531255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/196, 331/496, 321/118 is 531255.

LCM(30/196, 331/496, 321/118) = 531255

LCM of 30/196, 331/496, 321/118

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 30/196,331/496,321/118

Given numbers are 30/196,331/496,321/118

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 30,331,321

Least Common Multiple of Numerators i.e. LCM of 30,331,321 is 1062510.

GCF of Denominators means GCF of 196,496,118 as per the given fractions.

GCF of 196,496,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,331,321

LCM of Fractions 30/196,331/496,321/118 is 531255

3 30, 331, 321
10, 331, 107

∴ So the LCM of the given numbers is 3 x 10 x 331 x 107 = 1062510

Least Common Multiple of 30,331,321 with GCF Formula

Least Common Multiple of 30,331,321 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 30,331,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,331,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,331,321) x common factors =1 x 3 = 3

LCM(30,331,321) = ( 30 × 331 × 321 ) / 3

LCM(30,331,321) = 3187530 / 3

LCM(30,331,321) = 1062510


Lets's calculate GCF of 196,496,118

2 196, 496, 118
98, 248, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1062510/2

Therefore the LCM of Fractions 30/196,331/496,321/118 is 531255

Greatest Common Factor of 196,496,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,496,118 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 196,496,118 . The biggest common factor number is the GCF number.
So the greatest common factor 196,496,118 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 30/196, 331/496, 321/118

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 30/196, 331/496, 321/118?

Answer: LCM of Numerators as per given numbers 30/196, 331/496, 321/118 is

LCM of Numerators i.e. for 30,331,321 is 1062510

GCF of denominators i.e. for 196,496,118 is 2.

Thus, LCM of Fractions is 531255.Finally, LCM of Fractions for 30/196, 331/496, 321/118 is 531255.