Least Common Multiple of 23/206, 286/689, 636/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/206, 286/689, 636/977 quickly i.e. 2091804 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, 286/689, 636/977 is 2091804.

LCM(23/206, 286/689, 636/977) = 2091804

LCM of 23/206, 286/689, 636/977

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 23/206,286/689,636/977

Given numbers are 23/206,286/689,636/977

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 23,286,636

Least Common Multiple of Numerators i.e. LCM of 23,286,636 is 2091804.

GCF of Denominators means GCF of 206,689,977 as per the given fractions.

GCF of 206,689,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,286,636

LCM of Fractions 23/206,286/689,636/977 is 2091804

2 23, 286, 636
23, 143, 318

∴ So the LCM of the given numbers is 2 x 23 x 143 x 318 = 2091804

Least Common Multiple of 23,286,636 with GCF Formula

Least Common Multiple of 23,286,636 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 23,286,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,286,636) = 1

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

GCF(23,286,636) x common factors =1 x 2 = 2

LCM(23,286,636) = ( 23 × 286 × 636 ) / 2

LCM(23,286,636) = 4183608 / 2

LCM(23,286,636) = 2091804


Lets's calculate GCF of 206,689,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2091804/1

Therefore the LCM of Fractions 23/206,286/689,636/977 is 2091804

Greatest Common Factor of 206,689,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,689,977 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 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 206,689,977 . The biggest common factor number is the GCF number.
So the greatest common factor 206,689,977 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, 286/689, 636/977

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, 286/689, 636/977?

Answer: LCM of Numerators as per given numbers 23/206, 286/689, 636/977 is

LCM of Numerators i.e. for 23,286,636 is 2091804

GCF of denominators i.e. for 206,689,977 is 1.

Thus, LCM of Fractions is 2091804.Finally, LCM of Fractions for 23/206, 286/689, 636/977 is 2091804.