Least Common Multiple of 6105/194, 6733/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6105/194, 6733/188 quickly i.e. 41104965/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6105/194, 6733/188 is 41104965/2.

LCM(6105/194, 6733/188) = 41104965/2

LCM of 6105/194, 6733/188

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 6105/194,6733/188

Given numbers are 6105/194,6733/188

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 6105,6733

Least Common Multiple of Numerators i.e. LCM of 6105,6733 is 41104965.

GCF of Denominators means GCF of 194,188 as per the given fractions.

GCF of 194,188 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6105,6733

LCM of Fractions 6105/194,6733/188 is 41104965/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 41104965

Least Common Multiple of 6105,6733 with GCF Formula

Least Common Multiple of 6105,6733 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 6105,6733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6105,6733) = 1

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

GCF(6105,6733) x common factors =1 x 1 = 1

LCM(6105,6733) = ( 6105 × 6733 ) / 1

LCM(6105,6733) = 41104965 / 1

LCM(6105,6733) = 41104965


Lets's calculate GCF of 194,188

2 194, 188
97, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41104965/2

Therefore the LCM of Fractions 6105/194,6733/188 is 41104965/2

Greatest Common Factor of 194,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,188 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 194,188 . The biggest common factor number is the GCF number.
So the greatest common factor 194,188 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6105/194, 6733/188

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 6105/194, 6733/188?

Answer: LCM of Numerators as per given numbers 6105/194, 6733/188 is

LCM of Numerators i.e. for 6105,6733 is 41104965

GCF of denominators i.e. for 194,188 is 2.

Thus, LCM of Fractions is 41104965/2.Finally, LCM of Fractions for 6105/194, 6733/188 is 41104965/2.