Least Common Multiple of 20/554, 16/123, 998/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/554, 16/123, 998/889 quickly i.e. 39920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/554, 16/123, 998/889 is 39920.

LCM(20/554, 16/123, 998/889) = 39920

LCM of 20/554, 16/123, 998/889

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 20/554,16/123,998/889

Given numbers are 20/554,16/123,998/889

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 20,16,998

Least Common Multiple of Numerators i.e. LCM of 20,16,998 is 39920.

GCF of Denominators means GCF of 554,123,889 as per the given fractions.

GCF of 554,123,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,16,998

LCM of Fractions 20/554,16/123,998/889 is 39920

2 20, 16, 998
2 10, 8, 499
5, 4, 499

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 499 = 39920

Least Common Multiple of 20,16,998 with GCF Formula

Least Common Multiple of 20,16,998 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 20,16,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,16,998) = 2

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

GCF(20,16,998) x common factors =2 x 4 = 8

LCM(20,16,998) = ( 20 × 16 × 998 ) / 8

LCM(20,16,998) = 319360 / 8

LCM(20,16,998) = 39920


Lets's calculate GCF of 554,123,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39920/1

Therefore the LCM of Fractions 20/554,16/123,998/889 is 39920

Greatest Common Factor of 554,123,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,123,889 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 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 554,123,889 . The biggest common factor number is the GCF number.
So the greatest common factor 554,123,889 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 20/554, 16/123, 998/889

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 20/554, 16/123, 998/889?

Answer: LCM of Numerators as per given numbers 20/554, 16/123, 998/889 is

LCM of Numerators i.e. for 20,16,998 is 39920

GCF of denominators i.e. for 554,123,889 is 1.

Thus, LCM of Fractions is 39920.Finally, LCM of Fractions for 20/554, 16/123, 998/889 is 39920.