Least Common Multiple of 2797/56, 9818/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2797/56, 9818/230 quickly i.e. 13730473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2797/56, 9818/230 is 13730473.

LCM(2797/56, 9818/230) = 13730473

LCM of 2797/56, 9818/230

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 2797/56,9818/230

Given numbers are 2797/56,9818/230

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 2797,9818

Least Common Multiple of Numerators i.e. LCM of 2797,9818 is 27460946.

GCF of Denominators means GCF of 56,230 as per the given fractions.

GCF of 56,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2797,9818

LCM of Fractions 2797/56,9818/230 is 13730473

Given numbers has no common factors except 1. So, there LCM is their product i.e 27460946

Least Common Multiple of 2797,9818 with GCF Formula

Least Common Multiple of 2797,9818 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 2797,9818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2797,9818) = 1

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

GCF(2797,9818) x common factors =1 x 1 = 1

LCM(2797,9818) = ( 2797 × 9818 ) / 1

LCM(2797,9818) = 27460946 / 1

LCM(2797,9818) = 27460946


Lets's calculate GCF of 56,230

2 56, 230
28, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27460946/2

Therefore the LCM of Fractions 2797/56,9818/230 is 13730473

Greatest Common Factor of 56,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,230 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 56,230 . The biggest common factor number is the GCF number.
So the greatest common factor 56,230 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2797/56, 9818/230

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 2797/56, 9818/230?

Answer: LCM of Numerators as per given numbers 2797/56, 9818/230 is

LCM of Numerators i.e. for 2797,9818 is 27460946

GCF of denominators i.e. for 56,230 is 2.

Thus, LCM of Fractions is 13730473.Finally, LCM of Fractions for 2797/56, 9818/230 is 13730473.