Least Common Multiple of 166/198, 648/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 166/198, 648/722 quickly i.e. 26892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 166/198, 648/722 is 26892.

LCM(166/198, 648/722) = 26892

LCM of 166/198, 648/722

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 166/198,648/722

Given numbers are 166/198,648/722

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 166,648

Least Common Multiple of Numerators i.e. LCM of 166,648 is 53784.

GCF of Denominators means GCF of 198,722 as per the given fractions.

GCF of 198,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 166,648

LCM of Fractions 166/198,648/722 is 26892

2 166, 648
83, 324

∴ So the LCM of the given numbers is 2 x 83 x 324 = 53784

Least Common Multiple of 166,648 with GCF Formula

Least Common Multiple of 166,648 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 166,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,648) = 2

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

GCF(166,648) x common factors =2 x 1 = 2

LCM(166,648) = ( 166 × 648 ) / 2

LCM(166,648) = 107568 / 2

LCM(166,648) = 53784


Lets's calculate GCF of 198,722

2 198, 722
99, 361

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53784/2

Therefore the LCM of Fractions 166/198,648/722 is 26892

Greatest Common Factor of 198,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,722 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 198,722 . The biggest common factor number is the GCF number.
So the greatest common factor 198,722 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 166/198, 648/722

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 166/198, 648/722?

Answer: LCM of Numerators as per given numbers 166/198, 648/722 is

LCM of Numerators i.e. for 166,648 is 53784

GCF of denominators i.e. for 198,722 is 2.

Thus, LCM of Fractions is 26892.Finally, LCM of Fractions for 166/198, 648/722 is 26892.