Least Common Multiple of 16/769, 18/450, 958/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/769, 18/450, 958/549 quickly i.e. 68976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/769, 18/450, 958/549 is 68976.

LCM(16/769, 18/450, 958/549) = 68976

LCM of 16/769, 18/450, 958/549

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 16/769,18/450,958/549

Given numbers are 16/769,18/450,958/549

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 16,18,958

Least Common Multiple of Numerators i.e. LCM of 16,18,958 is 68976.

GCF of Denominators means GCF of 769,450,549 as per the given fractions.

GCF of 769,450,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,18,958

LCM of Fractions 16/769,18/450,958/549 is 68976

2 16, 18, 958
8, 9, 479

∴ So the LCM of the given numbers is 2 x 8 x 9 x 479 = 68976

Least Common Multiple of 16,18,958 with GCF Formula

Least Common Multiple of 16,18,958 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 16,18,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,18,958) = 2

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

GCF(16,18,958) x common factors =2 x 2 = 4

LCM(16,18,958) = ( 16 × 18 × 958 ) / 4

LCM(16,18,958) = 275904 / 4

LCM(16,18,958) = 68976


Lets's calculate GCF of 769,450,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68976/1

Therefore the LCM of Fractions 16/769,18/450,958/549 is 68976

Greatest Common Factor of 769,450,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,450,549 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 769,450,549 . The biggest common factor number is the GCF number.
So the greatest common factor 769,450,549 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 16/769, 18/450, 958/549

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 16/769, 18/450, 958/549?

Answer: LCM of Numerators as per given numbers 16/769, 18/450, 958/549 is

LCM of Numerators i.e. for 16,18,958 is 68976

GCF of denominators i.e. for 769,450,549 is 1.

Thus, LCM of Fractions is 68976.Finally, LCM of Fractions for 16/769, 18/450, 958/549 is 68976.