Least Common Multiple of 389/91, 947/26, 306/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 389/91, 947/26, 306/642 quickly i.e. 112725198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/91, 947/26, 306/642 is 112725198.

LCM(389/91, 947/26, 306/642) = 112725198

LCM of 389/91, 947/26, 306/642

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 389/91,947/26,306/642

Given numbers are 389/91,947/26,306/642

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 389,947,306

Least Common Multiple of Numerators i.e. LCM of 389,947,306 is 112725198.

GCF of Denominators means GCF of 91,26,642 as per the given fractions.

GCF of 91,26,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,947,306

LCM of Fractions 389/91,947/26,306/642 is 112725198

Given numbers has no common factors except 1. So, there LCM is their product i.e 112725198

Least Common Multiple of 389,947,306 with GCF Formula

Least Common Multiple of 389,947,306 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 389,947,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,947,306) = 1

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

GCF(389,947,306) x common factors =1 x 1 = 1

LCM(389,947,306) = ( 389 × 947 × 306 ) / 1

LCM(389,947,306) = 112725198 / 1

LCM(389,947,306) = 112725198


Lets's calculate GCF of 91,26,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112725198/1

Therefore the LCM of Fractions 389/91,947/26,306/642 is 112725198

Greatest Common Factor of 91,26,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,26,642 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 91,26,642 . The biggest common factor number is the GCF number.
So the greatest common factor 91,26,642 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 389/91, 947/26, 306/642

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 389/91, 947/26, 306/642?

Answer: LCM of Numerators as per given numbers 389/91, 947/26, 306/642 is

LCM of Numerators i.e. for 389,947,306 is 112725198

GCF of denominators i.e. for 91,26,642 is 1.

Thus, LCM of Fractions is 112725198.Finally, LCM of Fractions for 389/91, 947/26, 306/642 is 112725198.