Least Common Multiple of 31/66, 855/10, 337/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/66, 855/10, 337/963 quickly i.e. 8932185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/66, 855/10, 337/963 is 8932185.

LCM(31/66, 855/10, 337/963) = 8932185

LCM of 31/66, 855/10, 337/963

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 31/66,855/10,337/963

Given numbers are 31/66,855/10,337/963

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 31,855,337

Least Common Multiple of Numerators i.e. LCM of 31,855,337 is 8932185.

GCF of Denominators means GCF of 66,10,963 as per the given fractions.

GCF of 66,10,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,855,337

LCM of Fractions 31/66,855/10,337/963 is 8932185

Given numbers has no common factors except 1. So, there LCM is their product i.e 8932185

Least Common Multiple of 31,855,337 with GCF Formula

Least Common Multiple of 31,855,337 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 31,855,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,855,337) = 1

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

GCF(31,855,337) x common factors =1 x 1 = 1

LCM(31,855,337) = ( 31 × 855 × 337 ) / 1

LCM(31,855,337) = 8932185 / 1

LCM(31,855,337) = 8932185


Lets's calculate GCF of 66,10,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8932185/1

Therefore the LCM of Fractions 31/66,855/10,337/963 is 8932185

Greatest Common Factor of 66,10,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,10,963 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 66,10,963 . The biggest common factor number is the GCF number.
So the greatest common factor 66,10,963 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/66, 855/10, 337/963

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 31/66, 855/10, 337/963?

Answer: LCM of Numerators as per given numbers 31/66, 855/10, 337/963 is

LCM of Numerators i.e. for 31,855,337 is 8932185

GCF of denominators i.e. for 66,10,963 is 1.

Thus, LCM of Fractions is 8932185.Finally, LCM of Fractions for 31/66, 855/10, 337/963 is 8932185.