Least Common Multiple of 23/816, 1814/6222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/816, 1814/6222 quickly i.e. 41722/102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/816, 1814/6222 is 41722/102.

LCM(23/816, 1814/6222) = 41722/102

LCM of 23/816, 1814/6222

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 23/816,1814/6222

Given numbers are 23/816,1814/6222

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 23,1814

Least Common Multiple of Numerators i.e. LCM of 23,1814 is 41722.

GCF of Denominators means GCF of 816,6222 as per the given fractions.

GCF of 816,6222 is 102 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,1814

LCM of Fractions 23/816,1814/6222 is 41722/102

Given numbers has no common factors except 1. So, there LCM is their product i.e 41722

Least Common Multiple of 23,1814 with GCF Formula

Least Common Multiple of 23,1814 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 23,1814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,1814) = 1

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

GCF(23,1814) x common factors =1 x 1 = 1

LCM(23,1814) = ( 23 × 1814 ) / 1

LCM(23,1814) = 41722 / 1

LCM(23,1814) = 41722


Lets's calculate GCF of 816,6222

2 816, 6222
3 408, 3111
17 136, 1037
8, 61

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41722/102

Therefore the LCM of Fractions 23/816,1814/6222 is 41722/102

Greatest Common Factor of 816,6222 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,6222 By Matching Biggest Common Factor Method

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

Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222

Greatest Common Factor

We found the factors 816,6222 . The biggest common factor number is the GCF number.
So the greatest common factor 816,6222 is 102.


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 23/816, 1814/6222

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 23/816, 1814/6222?

Answer: LCM of Numerators as per given numbers 23/816, 1814/6222 is

LCM of Numerators i.e. for 23,1814 is 41722

GCF of denominators i.e. for 816,6222 is 102.

Thus, LCM of Fractions is 41722/102.Finally, LCM of Fractions for 23/816, 1814/6222 is 41722/102.