Least Common Multiple of 787/16, 136/1194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 787/16, 136/1194 quickly i.e. 53516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/16, 136/1194 is 53516.

LCM(787/16, 136/1194) = 53516

LCM of 787/16, 136/1194

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 787/16,136/1194

Given numbers are 787/16,136/1194

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 787,136

Least Common Multiple of Numerators i.e. LCM of 787,136 is 107032.

GCF of Denominators means GCF of 16,1194 as per the given fractions.

GCF of 16,1194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,136

LCM of Fractions 787/16,136/1194 is 53516

Given numbers has no common factors except 1. So, there LCM is their product i.e 107032

Least Common Multiple of 787,136 with GCF Formula

Least Common Multiple of 787,136 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 787,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,136) = 1

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

GCF(787,136) x common factors =1 x 1 = 1

LCM(787,136) = ( 787 × 136 ) / 1

LCM(787,136) = 107032 / 1

LCM(787,136) = 107032


Lets's calculate GCF of 16,1194

2 16, 1194
8, 597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107032/2

Therefore the LCM of Fractions 787/16,136/1194 is 53516

Greatest Common Factor of 16,1194 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1194 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1,2,3,6,199,398,597,1194

Greatest Common Factor

We found the factors 16,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1194 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 787/16, 136/1194

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 787/16, 136/1194?

Answer: LCM of Numerators as per given numbers 787/16, 136/1194 is

LCM of Numerators i.e. for 787,136 is 107032

GCF of denominators i.e. for 16,1194 is 2.

Thus, LCM of Fractions is 53516.Finally, LCM of Fractions for 787/16, 136/1194 is 53516.