Least Common Multiple of 97/510, 15/199, 990/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/510, 15/199, 990/443 quickly i.e. 96030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/510, 15/199, 990/443 is 96030.

LCM(97/510, 15/199, 990/443) = 96030

LCM of 97/510, 15/199, 990/443

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 97/510,15/199,990/443

Given numbers are 97/510,15/199,990/443

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 97,15,990

Least Common Multiple of Numerators i.e. LCM of 97,15,990 is 96030.

GCF of Denominators means GCF of 510,199,443 as per the given fractions.

GCF of 510,199,443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,15,990

LCM of Fractions 97/510,15/199,990/443 is 96030

3 97, 15, 990
5 97, 5, 330
97, 1, 66

∴ So the LCM of the given numbers is 3 x 5 x 97 x 1 x 66 = 96030

Least Common Multiple of 97,15,990 with GCF Formula

Least Common Multiple of 97,15,990 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 97,15,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,15,990) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(97,15,990) x common factors =1 x 15 = 15

LCM(97,15,990) = ( 97 × 15 × 990 ) / 15

LCM(97,15,990) = 1440450 / 15

LCM(97,15,990) = 96030


Lets's calculate GCF of 510,199,443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96030/1

Therefore the LCM of Fractions 97/510,15/199,990/443 is 96030

Greatest Common Factor of 510,199,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,199,443 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 510,199,443 . The biggest common factor number is the GCF number.
So the greatest common factor 510,199,443 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 97/510, 15/199, 990/443

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 97/510, 15/199, 990/443?

Answer: LCM of Numerators as per given numbers 97/510, 15/199, 990/443 is

LCM of Numerators i.e. for 97,15,990 is 96030

GCF of denominators i.e. for 510,199,443 is 1.

Thus, LCM of Fractions is 96030.Finally, LCM of Fractions for 97/510, 15/199, 990/443 is 96030.