Least Common Multiple of 16/442, 1168/9780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/442, 1168/9780 quickly i.e. 584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/442, 1168/9780 is 584.

LCM(16/442, 1168/9780) = 584

LCM of 16/442, 1168/9780

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 16/442,1168/9780

Given numbers are 16/442,1168/9780

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 16,1168

Least Common Multiple of Numerators i.e. LCM of 16,1168 is 1168.

GCF of Denominators means GCF of 442,9780 as per the given fractions.

GCF of 442,9780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,1168

LCM of Fractions 16/442,1168/9780 is 584

2 16, 1168
2 8, 584
2 4, 292
2 2, 146
1, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 73 = 1168

Least Common Multiple of 16,1168 with GCF Formula

Least Common Multiple of 16,1168 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 16,1168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,1168) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(16,1168) x common factors =16 x 1 = 16

LCM(16,1168) = ( 16 × 1168 ) / 16

LCM(16,1168) = 18688 / 16

LCM(16,1168) = 1168


Lets's calculate GCF of 442,9780

2 442, 9780
221, 4890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1168/2

Therefore the LCM of Fractions 16/442,1168/9780 is 584

Greatest Common Factor of 442,9780 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,9780 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

Greatest Common Factor

We found the factors 442,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 442,9780 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 16/442, 1168/9780

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 16/442, 1168/9780?

Answer: LCM of Numerators as per given numbers 16/442, 1168/9780 is

LCM of Numerators i.e. for 16,1168 is 1168

GCF of denominators i.e. for 442,9780 is 2.

Thus, LCM of Fractions is 584.Finally, LCM of Fractions for 16/442, 1168/9780 is 584.