Least Common Multiple of 9334/786, 6011/5091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9334/786, 6011/5091 quickly i.e. 56106674/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9334/786, 6011/5091 is 56106674/3.

LCM(9334/786, 6011/5091) = 56106674/3

LCM of 9334/786, 6011/5091

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 9334/786,6011/5091

Given numbers are 9334/786,6011/5091

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 9334,6011

Least Common Multiple of Numerators i.e. LCM of 9334,6011 is 56106674.

GCF of Denominators means GCF of 786,5091 as per the given fractions.

GCF of 786,5091 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9334,6011

LCM of Fractions 9334/786,6011/5091 is 56106674/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 56106674

Least Common Multiple of 9334,6011 with GCF Formula

Least Common Multiple of 9334,6011 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 9334,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9334,6011) = 1

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

GCF(9334,6011) x common factors =1 x 1 = 1

LCM(9334,6011) = ( 9334 × 6011 ) / 1

LCM(9334,6011) = 56106674 / 1

LCM(9334,6011) = 56106674


Lets's calculate GCF of 786,5091

3 786, 5091
262, 1697

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56106674/3

Therefore the LCM of Fractions 9334/786,6011/5091 is 56106674/3

Greatest Common Factor of 786,5091 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,5091 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 5091

List of positive integer factors of 5091 that divides 5091 without a remainder.

1,3,1697,5091

Greatest Common Factor

We found the factors 786,5091 . The biggest common factor number is the GCF number.
So the greatest common factor 786,5091 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9334/786, 6011/5091

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 9334/786, 6011/5091?

Answer: LCM of Numerators as per given numbers 9334/786, 6011/5091 is

LCM of Numerators i.e. for 9334,6011 is 56106674

GCF of denominators i.e. for 786,5091 is 3.

Thus, LCM of Fractions is 56106674/3.Finally, LCM of Fractions for 9334/786, 6011/5091 is 56106674/3.