Least Common Multiple of 149/16, 835/14, 694/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/16, 835/14, 694/866 quickly i.e. 43172005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/16, 835/14, 694/866 is 43172005.

LCM(149/16, 835/14, 694/866) = 43172005

LCM of 149/16, 835/14, 694/866

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 149/16,835/14,694/866

Given numbers are 149/16,835/14,694/866

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 149,835,694

Least Common Multiple of Numerators i.e. LCM of 149,835,694 is 86344010.

GCF of Denominators means GCF of 16,14,866 as per the given fractions.

GCF of 16,14,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,835,694

LCM of Fractions 149/16,835/14,694/866 is 43172005

Given numbers has no common factors except 1. So, there LCM is their product i.e 86344010

Least Common Multiple of 149,835,694 with GCF Formula

Least Common Multiple of 149,835,694 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 149,835,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,835,694) = 1

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

GCF(149,835,694) x common factors =1 x 1 = 1

LCM(149,835,694) = ( 149 × 835 × 694 ) / 1

LCM(149,835,694) = 86344010 / 1

LCM(149,835,694) = 86344010


Lets's calculate GCF of 16,14,866

2 16, 14, 866
8, 7, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86344010/2

Therefore the LCM of Fractions 149/16,835/14,694/866 is 43172005

Greatest Common Factor of 16,14,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,14,866 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 16,14,866 . The biggest common factor number is the GCF number.
So the greatest common factor 16,14,866 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 149/16, 835/14, 694/866

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 149/16, 835/14, 694/866?

Answer: LCM of Numerators as per given numbers 149/16, 835/14, 694/866 is

LCM of Numerators i.e. for 149,835,694 is 86344010

GCF of denominators i.e. for 16,14,866 is 2.

Thus, LCM of Fractions is 43172005.Finally, LCM of Fractions for 149/16, 835/14, 694/866 is 43172005.