Least Common Multiple of 16/524, 97/742, 998/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/524, 97/742, 998/546 quickly i.e. 387224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/524, 97/742, 998/546 is 387224.

LCM(16/524, 97/742, 998/546) = 387224

LCM of 16/524, 97/742, 998/546

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 16/524,97/742,998/546

Given numbers are 16/524,97/742,998/546

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 16,97,998

Least Common Multiple of Numerators i.e. LCM of 16,97,998 is 774448.

GCF of Denominators means GCF of 524,742,546 as per the given fractions.

GCF of 524,742,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,97,998

LCM of Fractions 16/524,97/742,998/546 is 387224

2 16, 97, 998
8, 97, 499

∴ So the LCM of the given numbers is 2 x 8 x 97 x 499 = 774448

Least Common Multiple of 16,97,998 with GCF Formula

Least Common Multiple of 16,97,998 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 16,97,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,97,998) = 1

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

GCF(16,97,998) x common factors =1 x 2 = 2

LCM(16,97,998) = ( 16 × 97 × 998 ) / 2

LCM(16,97,998) = 1548896 / 2

LCM(16,97,998) = 774448


Lets's calculate GCF of 524,742,546

2 524, 742, 546
262, 371, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774448/2

Therefore the LCM of Fractions 16/524,97/742,998/546 is 387224

Greatest Common Factor of 524,742,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,742,546 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 524,742,546 . The biggest common factor number is the GCF number.
So the greatest common factor 524,742,546 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 16/524, 97/742, 998/546

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 16/524, 97/742, 998/546?

Answer: LCM of Numerators as per given numbers 16/524, 97/742, 998/546 is

LCM of Numerators i.e. for 16,97,998 is 774448

GCF of denominators i.e. for 524,742,546 is 2.

Thus, LCM of Fractions is 387224.Finally, LCM of Fractions for 16/524, 97/742, 998/546 is 387224.