Least Common Multiple of 166/14, 991/22, 366/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 166/14, 991/22, 366/297 quickly i.e. 30104598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 166/14, 991/22, 366/297 is 30104598.

LCM(166/14, 991/22, 366/297) = 30104598

LCM of 166/14, 991/22, 366/297

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 166/14,991/22,366/297

Given numbers are 166/14,991/22,366/297

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 166,991,366

Least Common Multiple of Numerators i.e. LCM of 166,991,366 is 30104598.

GCF of Denominators means GCF of 14,22,297 as per the given fractions.

GCF of 14,22,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 166,991,366

LCM of Fractions 166/14,991/22,366/297 is 30104598

2 166, 991, 366
83, 991, 183

∴ So the LCM of the given numbers is 2 x 83 x 991 x 183 = 30104598

Least Common Multiple of 166,991,366 with GCF Formula

Least Common Multiple of 166,991,366 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 166,991,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,991,366) = 1

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

GCF(166,991,366) x common factors =1 x 2 = 2

LCM(166,991,366) = ( 166 × 991 × 366 ) / 2

LCM(166,991,366) = 60209196 / 2

LCM(166,991,366) = 30104598


Lets's calculate GCF of 14,22,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30104598/1

Therefore the LCM of Fractions 166/14,991/22,366/297 is 30104598

Greatest Common Factor of 14,22,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,22,297 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 14,22,297 . The biggest common factor number is the GCF number.
So the greatest common factor 14,22,297 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 166/14, 991/22, 366/297

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 166/14, 991/22, 366/297?

Answer: LCM of Numerators as per given numbers 166/14, 991/22, 366/297 is

LCM of Numerators i.e. for 166,991,366 is 30104598

GCF of denominators i.e. for 14,22,297 is 1.

Thus, LCM of Fractions is 30104598.Finally, LCM of Fractions for 166/14, 991/22, 366/297 is 30104598.