Least Common Multiple of 8/303, 60/615, 66/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8/303, 60/615, 66/496 quickly i.e. 1320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/303, 60/615, 66/496 is 1320.

LCM(8/303, 60/615, 66/496) = 1320

LCM of 8/303, 60/615, 66/496

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 8/303,60/615,66/496

Given numbers are 8/303,60/615,66/496

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 8,60,66

Least Common Multiple of Numerators i.e. LCM of 8,60,66 is 1320.

GCF of Denominators means GCF of 303,615,496 as per the given fractions.

GCF of 303,615,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,60,66

LCM of Fractions 8/303,60/615,66/496 is 1320

2 8, 60, 66
2 4, 30, 33
3 2, 15, 33
2, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 5 x 11 = 1320

Least Common Multiple of 8,60,66 with GCF Formula

Least Common Multiple of 8,60,66 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 8,60,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,60,66) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(8,60,66) x common factors =2 x 12 = 24

LCM(8,60,66) = ( 8 × 60 × 66 ) / 24

LCM(8,60,66) = 31680 / 24

LCM(8,60,66) = 1320


Lets's calculate GCF of 303,615,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320/1

Therefore the LCM of Fractions 8/303,60/615,66/496 is 1320

Greatest Common Factor of 303,615,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,615,496 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 303,615,496 . The biggest common factor number is the GCF number.
So the greatest common factor 303,615,496 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8/303, 60/615, 66/496

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 8/303, 60/615, 66/496?

Answer: LCM of Numerators as per given numbers 8/303, 60/615, 66/496 is

LCM of Numerators i.e. for 8,60,66 is 1320

GCF of denominators i.e. for 303,615,496 is 1.

Thus, LCM of Fractions is 1320.Finally, LCM of Fractions for 8/303, 60/615, 66/496 is 1320.