Least Common Multiple of 4796/605, 9558/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4796/605, 9558/765 quickly i.e. 22920084/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4796/605, 9558/765 is 22920084/5.

LCM(4796/605, 9558/765) = 22920084/5

LCM of 4796/605, 9558/765

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 4796/605,9558/765

Given numbers are 4796/605,9558/765

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 4796,9558

Least Common Multiple of Numerators i.e. LCM of 4796,9558 is 22920084.

GCF of Denominators means GCF of 605,765 as per the given fractions.

GCF of 605,765 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4796,9558

LCM of Fractions 4796/605,9558/765 is 22920084/5

2 4796, 9558
2398, 4779

∴ So the LCM of the given numbers is 2 x 2398 x 4779 = 22920084

Least Common Multiple of 4796,9558 with GCF Formula

Least Common Multiple of 4796,9558 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 4796,9558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4796,9558) = 2

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

GCF(4796,9558) x common factors =2 x 1 = 2

LCM(4796,9558) = ( 4796 × 9558 ) / 2

LCM(4796,9558) = 45840168 / 2

LCM(4796,9558) = 22920084


Lets's calculate GCF of 605,765

5 605, 765
121, 153

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22920084/5

Therefore the LCM of Fractions 4796/605,9558/765 is 22920084/5

Greatest Common Factor of 605,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,765 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 605,765 . The biggest common factor number is the GCF number.
So the greatest common factor 605,765 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4796/605, 9558/765

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 4796/605, 9558/765?

Answer: LCM of Numerators as per given numbers 4796/605, 9558/765 is

LCM of Numerators i.e. for 4796,9558 is 22920084

GCF of denominators i.e. for 605,765 is 5.

Thus, LCM of Fractions is 22920084/5.Finally, LCM of Fractions for 4796/605, 9558/765 is 22920084/5.