Least Common Multiple of 23/206, 22/456, 200/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/206, 22/456, 200/827 quickly i.e. 50600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/206, 22/456, 200/827 is 50600.

LCM(23/206, 22/456, 200/827) = 50600

LCM of 23/206, 22/456, 200/827

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 23/206,22/456,200/827

Given numbers are 23/206,22/456,200/827

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 23,22,200

Least Common Multiple of Numerators i.e. LCM of 23,22,200 is 50600.

GCF of Denominators means GCF of 206,456,827 as per the given fractions.

GCF of 206,456,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,22,200

LCM of Fractions 23/206,22/456,200/827 is 50600

2 23, 22, 200
23, 11, 100

∴ So the LCM of the given numbers is 2 x 23 x 11 x 100 = 50600

Least Common Multiple of 23,22,200 with GCF Formula

Least Common Multiple of 23,22,200 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 23,22,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,22,200) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,22,200) x common factors =1 x 2 = 2

LCM(23,22,200) = ( 23 × 22 × 200 ) / 2

LCM(23,22,200) = 101200 / 2

LCM(23,22,200) = 50600


Lets's calculate GCF of 206,456,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50600/1

Therefore the LCM of Fractions 23/206,22/456,200/827 is 50600

Greatest Common Factor of 206,456,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,456,827 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 206,456,827 . The biggest common factor number is the GCF number.
So the greatest common factor 206,456,827 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 23/206, 22/456, 200/827

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 23/206, 22/456, 200/827?

Answer: LCM of Numerators as per given numbers 23/206, 22/456, 200/827 is

LCM of Numerators i.e. for 23,22,200 is 50600

GCF of denominators i.e. for 206,456,827 is 1.

Thus, LCM of Fractions is 50600.Finally, LCM of Fractions for 23/206, 22/456, 200/827 is 50600.