Least Common Multiple of 36/266, 99/594, 314/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/266, 99/594, 314/796 quickly i.e. 31086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/266, 99/594, 314/796 is 31086.

LCM(36/266, 99/594, 314/796) = 31086

LCM of 36/266, 99/594, 314/796

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 36/266,99/594,314/796

Given numbers are 36/266,99/594,314/796

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 36,99,314

Least Common Multiple of Numerators i.e. LCM of 36,99,314 is 62172.

GCF of Denominators means GCF of 266,594,796 as per the given fractions.

GCF of 266,594,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,99,314

LCM of Fractions 36/266,99/594,314/796 is 31086

2 36, 99, 314
3 18, 99, 157
3 6, 33, 157
2, 11, 157

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 11 x 157 = 62172

Least Common Multiple of 36,99,314 with GCF Formula

Least Common Multiple of 36,99,314 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 36,99,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,99,314) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,99,314) x common factors =1 x 18 = 18

LCM(36,99,314) = ( 36 × 99 × 314 ) / 18

LCM(36,99,314) = 1119096 / 18

LCM(36,99,314) = 62172


Lets's calculate GCF of 266,594,796

2 266, 594, 796
133, 297, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62172/2

Therefore the LCM of Fractions 36/266,99/594,314/796 is 31086

Greatest Common Factor of 266,594,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,594,796 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 266,594,796 . The biggest common factor number is the GCF number.
So the greatest common factor 266,594,796 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 36/266, 99/594, 314/796

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 36/266, 99/594, 314/796?

Answer: LCM of Numerators as per given numbers 36/266, 99/594, 314/796 is

LCM of Numerators i.e. for 36,99,314 is 62172

GCF of denominators i.e. for 266,594,796 is 2.

Thus, LCM of Fractions is 31086.Finally, LCM of Fractions for 36/266, 99/594, 314/796 is 31086.