Least Common Multiple of 16/98, 418/20, 428/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/98, 418/20, 428/554 quickly i.e. 178904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/98, 418/20, 428/554 is 178904.

LCM(16/98, 418/20, 428/554) = 178904

LCM of 16/98, 418/20, 428/554

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 16/98,418/20,428/554

Given numbers are 16/98,418/20,428/554

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 16,418,428

Least Common Multiple of Numerators i.e. LCM of 16,418,428 is 357808.

GCF of Denominators means GCF of 98,20,554 as per the given fractions.

GCF of 98,20,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,418,428

LCM of Fractions 16/98,418/20,428/554 is 178904

2 16, 418, 428
2 8, 209, 214
4, 209, 107

∴ So the LCM of the given numbers is 2 x 2 x 4 x 209 x 107 = 357808

Least Common Multiple of 16,418,428 with GCF Formula

Least Common Multiple of 16,418,428 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 16,418,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,418,428) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(16,418,428) x common factors =2 x 4 = 8

LCM(16,418,428) = ( 16 × 418 × 428 ) / 8

LCM(16,418,428) = 2862464 / 8

LCM(16,418,428) = 357808


Lets's calculate GCF of 98,20,554

2 98, 20, 554
49, 10, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 357808/2

Therefore the LCM of Fractions 16/98,418/20,428/554 is 178904

Greatest Common Factor of 98,20,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,20,554 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 554

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

1,2,277,554

Greatest Common Factor

We found the factors 98,20,554 . The biggest common factor number is the GCF number.
So the greatest common factor 98,20,554 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 16/98, 418/20, 428/554

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 16/98, 418/20, 428/554?

Answer: LCM of Numerators as per given numbers 16/98, 418/20, 428/554 is

LCM of Numerators i.e. for 16,418,428 is 357808

GCF of denominators i.e. for 98,20,554 is 2.

Thus, LCM of Fractions is 178904.Finally, LCM of Fractions for 16/98, 418/20, 428/554 is 178904.