Least Common Multiple of 16/498, 27/762, 992/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/498, 27/762, 992/554 quickly i.e. 13392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/498, 27/762, 992/554 is 13392.

LCM(16/498, 27/762, 992/554) = 13392

LCM of 16/498, 27/762, 992/554

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 16/498,27/762,992/554

Given numbers are 16/498,27/762,992/554

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 16,27,992

Least Common Multiple of Numerators i.e. LCM of 16,27,992 is 26784.

GCF of Denominators means GCF of 498,762,554 as per the given fractions.

GCF of 498,762,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,27,992

LCM of Fractions 16/498,27/762,992/554 is 13392

2 16, 27, 992
2 8, 27, 496
2 4, 27, 248
2 2, 27, 124
1, 27, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 27 x 62 = 26784

Least Common Multiple of 16,27,992 with GCF Formula

Least Common Multiple of 16,27,992 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 16,27,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,27,992) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,27,992) x common factors =1 x 16 = 16

LCM(16,27,992) = ( 16 × 27 × 992 ) / 16

LCM(16,27,992) = 428544 / 16

LCM(16,27,992) = 26784


Lets's calculate GCF of 498,762,554

2 498, 762, 554
249, 381, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26784/2

Therefore the LCM of Fractions 16/498,27/762,992/554 is 13392

Greatest Common Factor of 498,762,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,762,554 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

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 498,762,554 . The biggest common factor number is the GCF number.
So the greatest common factor 498,762,554 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 16/498, 27/762, 992/554

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 16/498, 27/762, 992/554?

Answer: LCM of Numerators as per given numbers 16/498, 27/762, 992/554 is

LCM of Numerators i.e. for 16,27,992 is 26784

GCF of denominators i.e. for 498,762,554 is 2.

Thus, LCM of Fractions is 13392.Finally, LCM of Fractions for 16/498, 27/762, 992/554 is 13392.