Least Common Multiple of 198/43, 964/6659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 198/43, 964/6659 quickly i.e. 95436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/43, 964/6659 is 95436.

LCM(198/43, 964/6659) = 95436

LCM of 198/43, 964/6659

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 198/43,964/6659

Given numbers are 198/43,964/6659

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 198,964

Least Common Multiple of Numerators i.e. LCM of 198,964 is 95436.

GCF of Denominators means GCF of 43,6659 as per the given fractions.

GCF of 43,6659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,964

LCM of Fractions 198/43,964/6659 is 95436

2 198, 964
99, 482

∴ So the LCM of the given numbers is 2 x 99 x 482 = 95436

Least Common Multiple of 198,964 with GCF Formula

Least Common Multiple of 198,964 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 198,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,964) = 2

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

GCF(198,964) x common factors =2 x 1 = 2

LCM(198,964) = ( 198 × 964 ) / 2

LCM(198,964) = 190872 / 2

LCM(198,964) = 95436


Lets's calculate GCF of 43,6659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95436/1

Therefore the LCM of Fractions 198/43,964/6659 is 95436

Greatest Common Factor of 43,6659 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,6659 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 6659

List of positive integer factors of 6659 that divides 6659 without a remainder.

1,6659

Greatest Common Factor

We found the factors 43,6659 . The biggest common factor number is the GCF number.
So the greatest common factor 43,6659 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 198/43, 964/6659

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 198/43, 964/6659?

Answer: LCM of Numerators as per given numbers 198/43, 964/6659 is

LCM of Numerators i.e. for 198,964 is 95436

GCF of denominators i.e. for 43,6659 is 1.

Thus, LCM of Fractions is 95436.Finally, LCM of Fractions for 198/43, 964/6659 is 95436.