Least Common Multiple of 798/522, 5765/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 798/522, 5765/340 quickly i.e. 2300235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/522, 5765/340 is 2300235.

LCM(798/522, 5765/340) = 2300235

LCM of 798/522, 5765/340

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 798/522,5765/340

Given numbers are 798/522,5765/340

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 798,5765

Least Common Multiple of Numerators i.e. LCM of 798,5765 is 4600470.

GCF of Denominators means GCF of 522,340 as per the given fractions.

GCF of 522,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,5765

LCM of Fractions 798/522,5765/340 is 2300235

Given numbers has no common factors except 1. So, there LCM is their product i.e 4600470

Least Common Multiple of 798,5765 with GCF Formula

Least Common Multiple of 798,5765 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 798,5765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,5765) = 1

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

GCF(798,5765) x common factors =1 x 1 = 1

LCM(798,5765) = ( 798 × 5765 ) / 1

LCM(798,5765) = 4600470 / 1

LCM(798,5765) = 4600470


Lets's calculate GCF of 522,340

2 522, 340
261, 170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4600470/2

Therefore the LCM of Fractions 798/522,5765/340 is 2300235

Greatest Common Factor of 522,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,340 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 522,340 . The biggest common factor number is the GCF number.
So the greatest common factor 522,340 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 798/522, 5765/340

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 798/522, 5765/340?

Answer: LCM of Numerators as per given numbers 798/522, 5765/340 is

LCM of Numerators i.e. for 798,5765 is 4600470

GCF of denominators i.e. for 522,340 is 2.

Thus, LCM of Fractions is 2300235.Finally, LCM of Fractions for 798/522, 5765/340 is 2300235.