Least Common Multiple of 16/704, 11/846, 386/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/704, 11/846, 386/736 quickly i.e. 16984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/704, 11/846, 386/736 is 16984.

LCM(16/704, 11/846, 386/736) = 16984

LCM of 16/704, 11/846, 386/736

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 16/704,11/846,386/736

Given numbers are 16/704,11/846,386/736

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 16,11,386

Least Common Multiple of Numerators i.e. LCM of 16,11,386 is 33968.

GCF of Denominators means GCF of 704,846,736 as per the given fractions.

GCF of 704,846,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,11,386

LCM of Fractions 16/704,11/846,386/736 is 16984

2 16, 11, 386
8, 11, 193

∴ So the LCM of the given numbers is 2 x 8 x 11 x 193 = 33968

Least Common Multiple of 16,11,386 with GCF Formula

Least Common Multiple of 16,11,386 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 16,11,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,11,386) = 1

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

GCF(16,11,386) x common factors =1 x 2 = 2

LCM(16,11,386) = ( 16 × 11 × 386 ) / 2

LCM(16,11,386) = 67936 / 2

LCM(16,11,386) = 33968


Lets's calculate GCF of 704,846,736

2 704, 846, 736
352, 423, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33968/2

Therefore the LCM of Fractions 16/704,11/846,386/736 is 16984

Greatest Common Factor of 704,846,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,846,736 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 704,846,736 . The biggest common factor number is the GCF number.
So the greatest common factor 704,846,736 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 16/704, 11/846, 386/736

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 16/704, 11/846, 386/736?

Answer: LCM of Numerators as per given numbers 16/704, 11/846, 386/736 is

LCM of Numerators i.e. for 16,11,386 is 33968

GCF of denominators i.e. for 704,846,736 is 2.

Thus, LCM of Fractions is 16984.Finally, LCM of Fractions for 16/704, 11/846, 386/736 is 16984.