Least Common Multiple of 143/298, 9282/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/298, 9282/503 quickly i.e. 102102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/298, 9282/503 is 102102.

LCM(143/298, 9282/503) = 102102

LCM of 143/298, 9282/503

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 143/298,9282/503

Given numbers are 143/298,9282/503

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 143,9282

Least Common Multiple of Numerators i.e. LCM of 143,9282 is 102102.

GCF of Denominators means GCF of 298,503 as per the given fractions.

GCF of 298,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,9282

LCM of Fractions 143/298,9282/503 is 102102

13 143, 9282
11, 714

∴ So the LCM of the given numbers is 13 x 11 x 714 = 102102

Least Common Multiple of 143,9282 with GCF Formula

Least Common Multiple of 143,9282 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 143,9282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,9282) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(143,9282) x common factors =13 x 1 = 13

LCM(143,9282) = ( 143 × 9282 ) / 13

LCM(143,9282) = 1327326 / 13

LCM(143,9282) = 102102


Lets's calculate GCF of 298,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102102/1

Therefore the LCM of Fractions 143/298,9282/503 is 102102

Greatest Common Factor of 298,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,503 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 298,503 . The biggest common factor number is the GCF number.
So the greatest common factor 298,503 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 143/298, 9282/503

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 143/298, 9282/503?

Answer: LCM of Numerators as per given numbers 143/298, 9282/503 is

LCM of Numerators i.e. for 143,9282 is 102102

GCF of denominators i.e. for 298,503 is 1.

Thus, LCM of Fractions is 102102.Finally, LCM of Fractions for 143/298, 9282/503 is 102102.