Least Common Multiple of 9495/238, 9958/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9495/238, 9958/255 quickly i.e. 94551210/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9495/238, 9958/255 is 94551210/17.

LCM(9495/238, 9958/255) = 94551210/17

LCM of 9495/238, 9958/255

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 9495/238,9958/255

Given numbers are 9495/238,9958/255

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 9495,9958

Least Common Multiple of Numerators i.e. LCM of 9495,9958 is 94551210.

GCF of Denominators means GCF of 238,255 as per the given fractions.

GCF of 238,255 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9495,9958

LCM of Fractions 9495/238,9958/255 is 94551210/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 94551210

Least Common Multiple of 9495,9958 with GCF Formula

Least Common Multiple of 9495,9958 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 9495,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9495,9958) = 1

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

GCF(9495,9958) x common factors =1 x 1 = 1

LCM(9495,9958) = ( 9495 × 9958 ) / 1

LCM(9495,9958) = 94551210 / 1

LCM(9495,9958) = 94551210


Lets's calculate GCF of 238,255

17 238, 255
14, 15

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94551210/17

Therefore the LCM of Fractions 9495/238,9958/255 is 94551210/17

Greatest Common Factor of 238,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,255 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 255

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

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

Greatest Common Factor

We found the factors 238,255 . The biggest common factor number is the GCF number.
So the greatest common factor 238,255 is 17.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 9495/238, 9958/255

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 9495/238, 9958/255?

Answer: LCM of Numerators as per given numbers 9495/238, 9958/255 is

LCM of Numerators i.e. for 9495,9958 is 94551210

GCF of denominators i.e. for 238,255 is 17.

Thus, LCM of Fractions is 94551210/17.Finally, LCM of Fractions for 9495/238, 9958/255 is 94551210/17.