Least Common Multiple of 941/86, 311/53, 238/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 941/86, 311/53, 238/310 quickly i.e. 69650938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 941/86, 311/53, 238/310 is 69650938.

LCM(941/86, 311/53, 238/310) = 69650938

LCM of 941/86, 311/53, 238/310

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 941/86,311/53,238/310

Given numbers are 941/86,311/53,238/310

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 941,311,238

Least Common Multiple of Numerators i.e. LCM of 941,311,238 is 69650938.

GCF of Denominators means GCF of 86,53,310 as per the given fractions.

GCF of 86,53,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 941,311,238

LCM of Fractions 941/86,311/53,238/310 is 69650938

Given numbers has no common factors except 1. So, there LCM is their product i.e 69650938

Least Common Multiple of 941,311,238 with GCF Formula

Least Common Multiple of 941,311,238 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 941,311,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,311,238) = 1

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

GCF(941,311,238) x common factors =1 x 1 = 1

LCM(941,311,238) = ( 941 × 311 × 238 ) / 1

LCM(941,311,238) = 69650938 / 1

LCM(941,311,238) = 69650938


Lets's calculate GCF of 86,53,310

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69650938/1

Therefore the LCM of Fractions 941/86,311/53,238/310 is 69650938

Greatest Common Factor of 86,53,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,53,310 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 86,53,310 . The biggest common factor number is the GCF number.
So the greatest common factor 86,53,310 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 941/86, 311/53, 238/310

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 941/86, 311/53, 238/310?

Answer: LCM of Numerators as per given numbers 941/86, 311/53, 238/310 is

LCM of Numerators i.e. for 941,311,238 is 69650938

GCF of denominators i.e. for 86,53,310 is 1.

Thus, LCM of Fractions is 69650938.Finally, LCM of Fractions for 941/86, 311/53, 238/310 is 69650938.