Least Common Multiple of 27/172, 66/986, 316/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/172, 66/986, 316/994 quickly i.e. 46926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/172, 66/986, 316/994 is 46926.

LCM(27/172, 66/986, 316/994) = 46926

LCM of 27/172, 66/986, 316/994

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 27/172,66/986,316/994

Given numbers are 27/172,66/986,316/994

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 27,66,316

Least Common Multiple of Numerators i.e. LCM of 27,66,316 is 93852.

GCF of Denominators means GCF of 172,986,994 as per the given fractions.

GCF of 172,986,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,66,316

LCM of Fractions 27/172,66/986,316/994 is 46926

2 27, 66, 316
3 27, 33, 158
9, 11, 158

∴ So the LCM of the given numbers is 2 x 3 x 9 x 11 x 158 = 93852

Least Common Multiple of 27,66,316 with GCF Formula

Least Common Multiple of 27,66,316 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 27,66,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,66,316) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,66,316) x common factors =1 x 6 = 6

LCM(27,66,316) = ( 27 × 66 × 316 ) / 6

LCM(27,66,316) = 563112 / 6

LCM(27,66,316) = 93852


Lets's calculate GCF of 172,986,994

2 172, 986, 994
86, 493, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93852/2

Therefore the LCM of Fractions 27/172,66/986,316/994 is 46926

Greatest Common Factor of 172,986,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,986,994 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 172,986,994 . The biggest common factor number is the GCF number.
So the greatest common factor 172,986,994 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 27/172, 66/986, 316/994

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 27/172, 66/986, 316/994?

Answer: LCM of Numerators as per given numbers 27/172, 66/986, 316/994 is

LCM of Numerators i.e. for 27,66,316 is 93852

GCF of denominators i.e. for 172,986,994 is 2.

Thus, LCM of Fractions is 46926.Finally, LCM of Fractions for 27/172, 66/986, 316/994 is 46926.