Least Common Multiple of 16/334, 851/457, 736/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/334, 851/457, 736/991 quickly i.e. 27232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/334, 851/457, 736/991 is 27232.

LCM(16/334, 851/457, 736/991) = 27232

LCM of 16/334, 851/457, 736/991

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 16/334,851/457,736/991

Given numbers are 16/334,851/457,736/991

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 16,851,736

Least Common Multiple of Numerators i.e. LCM of 16,851,736 is 27232.

GCF of Denominators means GCF of 334,457,991 as per the given fractions.

GCF of 334,457,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,851,736

LCM of Fractions 16/334,851/457,736/991 is 27232

2 16, 851, 736
2 8, 851, 368
2 4, 851, 184
2 2, 851, 92
23 1, 851, 46
1, 37, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 1 x 37 x 2 = 27232

Least Common Multiple of 16,851,736 with GCF Formula

Least Common Multiple of 16,851,736 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 16,851,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,851,736) = 1

common factors(in case of two or more numbers have common factors) = 368

GCF(16,851,736) x common factors =1 x 368 = 368

LCM(16,851,736) = ( 16 × 851 × 736 ) / 368

LCM(16,851,736) = 10021376 / 368

LCM(16,851,736) = 27232


Lets's calculate GCF of 334,457,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27232/1

Therefore the LCM of Fractions 16/334,851/457,736/991 is 27232

Greatest Common Factor of 334,457,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,457,991 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 334,457,991 . The biggest common factor number is the GCF number.
So the greatest common factor 334,457,991 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 16/334, 851/457, 736/991

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 16/334, 851/457, 736/991?

Answer: LCM of Numerators as per given numbers 16/334, 851/457, 736/991 is

LCM of Numerators i.e. for 16,851,736 is 27232

GCF of denominators i.e. for 334,457,991 is 1.

Thus, LCM of Fractions is 27232.Finally, LCM of Fractions for 16/334, 851/457, 736/991 is 27232.