Least Common Multiple of 98/298, 77/540, 471/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/298, 77/540, 471/663 quickly i.e. 507738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/298, 77/540, 471/663 is 507738.

LCM(98/298, 77/540, 471/663) = 507738

LCM of 98/298, 77/540, 471/663

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 98/298,77/540,471/663

Given numbers are 98/298,77/540,471/663

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 98,77,471

Least Common Multiple of Numerators i.e. LCM of 98,77,471 is 507738.

GCF of Denominators means GCF of 298,540,663 as per the given fractions.

GCF of 298,540,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,77,471

LCM of Fractions 98/298,77/540,471/663 is 507738

7 98, 77, 471
14, 11, 471

∴ So the LCM of the given numbers is 7 x 14 x 11 x 471 = 507738

Least Common Multiple of 98,77,471 with GCF Formula

Least Common Multiple of 98,77,471 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 98,77,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,77,471) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(98,77,471) x common factors =1 x 7 = 7

LCM(98,77,471) = ( 98 × 77 × 471 ) / 7

LCM(98,77,471) = 3554166 / 7

LCM(98,77,471) = 507738


Lets's calculate GCF of 298,540,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507738/1

Therefore the LCM of Fractions 98/298,77/540,471/663 is 507738

Greatest Common Factor of 298,540,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,540,663 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 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 298,540,663 . The biggest common factor number is the GCF number.
So the greatest common factor 298,540,663 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 98/298, 77/540, 471/663

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 98/298, 77/540, 471/663?

Answer: LCM of Numerators as per given numbers 98/298, 77/540, 471/663 is

LCM of Numerators i.e. for 98,77,471 is 507738

GCF of denominators i.e. for 298,540,663 is 1.

Thus, LCM of Fractions is 507738.Finally, LCM of Fractions for 98/298, 77/540, 471/663 is 507738.