Least Common Multiple of 233/255, 5818/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 233/255, 5818/980 quickly i.e. 1355594/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/255, 5818/980 is 1355594/5.

LCM(233/255, 5818/980) = 1355594/5

LCM of 233/255, 5818/980

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 233/255,5818/980

Given numbers are 233/255,5818/980

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 233,5818

Least Common Multiple of Numerators i.e. LCM of 233,5818 is 1355594.

GCF of Denominators means GCF of 255,980 as per the given fractions.

GCF of 255,980 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,5818

LCM of Fractions 233/255,5818/980 is 1355594/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 1355594

Least Common Multiple of 233,5818 with GCF Formula

Least Common Multiple of 233,5818 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 233,5818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,5818) = 1

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

GCF(233,5818) x common factors =1 x 1 = 1

LCM(233,5818) = ( 233 × 5818 ) / 1

LCM(233,5818) = 1355594 / 1

LCM(233,5818) = 1355594


Lets's calculate GCF of 255,980

5 255, 980
51, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1355594/5

Therefore the LCM of Fractions 233/255,5818/980 is 1355594/5

Greatest Common Factor of 255,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,980 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 255,980 . The biggest common factor number is the GCF number.
So the greatest common factor 255,980 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 233/255, 5818/980

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 233/255, 5818/980?

Answer: LCM of Numerators as per given numbers 233/255, 5818/980 is

LCM of Numerators i.e. for 233,5818 is 1355594

GCF of denominators i.e. for 255,980 is 5.

Thus, LCM of Fractions is 1355594/5.Finally, LCM of Fractions for 233/255, 5818/980 is 1355594/5.