Least Common Multiple of 236/23, 168/99, 966/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 236/23, 168/99, 966/199 quickly i.e. 227976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/23, 168/99, 966/199 is 227976.

LCM(236/23, 168/99, 966/199) = 227976

LCM of 236/23, 168/99, 966/199

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 236/23,168/99,966/199

Given numbers are 236/23,168/99,966/199

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 236,168,966

Least Common Multiple of Numerators i.e. LCM of 236,168,966 is 227976.

GCF of Denominators means GCF of 23,99,199 as per the given fractions.

GCF of 23,99,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,168,966

LCM of Fractions 236/23,168/99,966/199 is 227976

2 236, 168, 966
2 118, 84, 483
3 59, 42, 483
7 59, 14, 161
59, 2, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 59 x 2 x 23 = 227976

Least Common Multiple of 236,168,966 with GCF Formula

Least Common Multiple of 236,168,966 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 236,168,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,168,966) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(236,168,966) x common factors =2 x 84 = 168

LCM(236,168,966) = ( 236 × 168 × 966 ) / 168

LCM(236,168,966) = 38299968 / 168

LCM(236,168,966) = 227976


Lets's calculate GCF of 23,99,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227976/1

Therefore the LCM of Fractions 236/23,168/99,966/199 is 227976

Greatest Common Factor of 23,99,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,99,199 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 23,99,199 . The biggest common factor number is the GCF number.
So the greatest common factor 23,99,199 is 1.


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Frequently Asked Questions on Fractional LCM of 236/23, 168/99, 966/199

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 236/23, 168/99, 966/199?

Answer: LCM of Numerators as per given numbers 236/23, 168/99, 966/199 is

LCM of Numerators i.e. for 236,168,966 is 227976

GCF of denominators i.e. for 23,99,199 is 1.

Thus, LCM of Fractions is 227976.Finally, LCM of Fractions for 236/23, 168/99, 966/199 is 227976.