Least Common Multiple of 4679/617, 1138/9686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4679/617, 1138/9686 quickly i.e. 5324702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4679/617, 1138/9686 is 5324702.

LCM(4679/617, 1138/9686) = 5324702

LCM of 4679/617, 1138/9686

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 4679/617,1138/9686

Given numbers are 4679/617,1138/9686

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 4679,1138

Least Common Multiple of Numerators i.e. LCM of 4679,1138 is 5324702.

GCF of Denominators means GCF of 617,9686 as per the given fractions.

GCF of 617,9686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4679,1138

LCM of Fractions 4679/617,1138/9686 is 5324702

Given numbers has no common factors except 1. So, there LCM is their product i.e 5324702

Least Common Multiple of 4679,1138 with GCF Formula

Least Common Multiple of 4679,1138 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 4679,1138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4679,1138) = 1

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

GCF(4679,1138) x common factors =1 x 1 = 1

LCM(4679,1138) = ( 4679 × 1138 ) / 1

LCM(4679,1138) = 5324702 / 1

LCM(4679,1138) = 5324702


Lets's calculate GCF of 617,9686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5324702/1

Therefore the LCM of Fractions 4679/617,1138/9686 is 5324702

Greatest Common Factor of 617,9686 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,9686 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 9686

List of positive integer factors of 9686 that divides 9686 without a remainder.

1,2,29,58,167,334,4843,9686

Greatest Common Factor

We found the factors 617,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 617,9686 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4679/617, 1138/9686

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 4679/617, 1138/9686?

Answer: LCM of Numerators as per given numbers 4679/617, 1138/9686 is

LCM of Numerators i.e. for 4679,1138 is 5324702

GCF of denominators i.e. for 617,9686 is 1.

Thus, LCM of Fractions is 5324702.Finally, LCM of Fractions for 4679/617, 1138/9686 is 5324702.