Least Common Multiple of 98/554, 10/506, 272/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/554, 10/506, 272/998 quickly i.e. 33320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/554, 10/506, 272/998 is 33320.

LCM(98/554, 10/506, 272/998) = 33320

LCM of 98/554, 10/506, 272/998

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 98/554,10/506,272/998

Given numbers are 98/554,10/506,272/998

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 98,10,272

Least Common Multiple of Numerators i.e. LCM of 98,10,272 is 66640.

GCF of Denominators means GCF of 554,506,998 as per the given fractions.

GCF of 554,506,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,10,272

LCM of Fractions 98/554,10/506,272/998 is 33320

2 98, 10, 272
49, 5, 136

∴ So the LCM of the given numbers is 2 x 49 x 5 x 136 = 66640

Least Common Multiple of 98,10,272 with GCF Formula

Least Common Multiple of 98,10,272 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 98,10,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,10,272) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(98,10,272) x common factors =2 x 2 = 4

LCM(98,10,272) = ( 98 × 10 × 272 ) / 4

LCM(98,10,272) = 266560 / 4

LCM(98,10,272) = 66640


Lets's calculate GCF of 554,506,998

2 554, 506, 998
277, 253, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66640/2

Therefore the LCM of Fractions 98/554,10/506,272/998 is 33320

Greatest Common Factor of 554,506,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,506,998 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 554,506,998 . The biggest common factor number is the GCF number.
So the greatest common factor 554,506,998 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 98/554, 10/506, 272/998

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 98/554, 10/506, 272/998?

Answer: LCM of Numerators as per given numbers 98/554, 10/506, 272/998 is

LCM of Numerators i.e. for 98,10,272 is 66640

GCF of denominators i.e. for 554,506,998 is 2.

Thus, LCM of Fractions is 33320.Finally, LCM of Fractions for 98/554, 10/506, 272/998 is 33320.