Least Common Multiple of 364/89, 316/27, 685/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/89, 316/27, 685/816 quickly i.e. 19697860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/89, 316/27, 685/816 is 19697860.

LCM(364/89, 316/27, 685/816) = 19697860

LCM of 364/89, 316/27, 685/816

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 364/89,316/27,685/816

Given numbers are 364/89,316/27,685/816

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 364,316,685

Least Common Multiple of Numerators i.e. LCM of 364,316,685 is 19697860.

GCF of Denominators means GCF of 89,27,816 as per the given fractions.

GCF of 89,27,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,316,685

LCM of Fractions 364/89,316/27,685/816 is 19697860

2 364, 316, 685
2 182, 158, 685
91, 79, 685

∴ So the LCM of the given numbers is 2 x 2 x 91 x 79 x 685 = 19697860

Least Common Multiple of 364,316,685 with GCF Formula

Least Common Multiple of 364,316,685 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 364,316,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,316,685) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(364,316,685) x common factors =1 x 4 = 4

LCM(364,316,685) = ( 364 × 316 × 685 ) / 4

LCM(364,316,685) = 78791440 / 4

LCM(364,316,685) = 19697860


Lets's calculate GCF of 89,27,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19697860/1

Therefore the LCM of Fractions 364/89,316/27,685/816 is 19697860

Greatest Common Factor of 89,27,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,27,816 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 89,27,816 . The biggest common factor number is the GCF number.
So the greatest common factor 89,27,816 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 364/89, 316/27, 685/816

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 364/89, 316/27, 685/816?

Answer: LCM of Numerators as per given numbers 364/89, 316/27, 685/816 is

LCM of Numerators i.e. for 364,316,685 is 19697860

GCF of denominators i.e. for 89,27,816 is 1.

Thus, LCM of Fractions is 19697860.Finally, LCM of Fractions for 364/89, 316/27, 685/816 is 19697860.