Least Common Multiple of 66/16, 80/37, 78/31, 42/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/16, 80/37, 78/31, 42/815 quickly i.e. 240240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/16, 80/37, 78/31, 42/815 is 240240.

LCM(66/16, 80/37, 78/31, 42/815) = 240240

LCM of 66/16, 80/37, 78/31, 42/815

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 66/16,80/37,78/31,42/815

Given numbers are 66/16,80/37,78/31,42/815

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 66,80,78,42

Least Common Multiple of Numerators i.e. LCM of 66,80,78,42 is 240240.

GCF of Denominators means GCF of 16,37,31,815 as per the given fractions.

GCF of 16,37,31,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,80,78,42

LCM of Fractions 66/16,80/37,78/31,42/815 is 240240

2 66, 80, 78, 42
3 33, 40, 39, 21
11, 40, 13, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 40 x 13 x 7 = 240240

Least Common Multiple of 66,80,78,42 with GCF Formula

Least Common Multiple of 66,80,78,42 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 66,80,78,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,80,78,42) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(66,80,78,42) x common factors =2 x 36 = 72

LCM(66,80,78,42) = ( 66 × 80 × 78 × 42 ) / 72

LCM(66,80,78,42) = 17297280 / 72

LCM(66,80,78,42) = 240240


Lets's calculate GCF of 16,37,31,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240240/1

Therefore the LCM of Fractions 66/16,80/37,78/31,42/815 is 240240

Greatest Common Factor of 16,37,31,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,37,31,815 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 16,37,31,815 . The biggest common factor number is the GCF number.
So the greatest common factor 16,37,31,815 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/16, 80/37, 78/31, 42/815

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 66/16, 80/37, 78/31, 42/815?

Answer: LCM of Numerators as per given numbers 66/16, 80/37, 78/31, 42/815 is

LCM of Numerators i.e. for 66,80,78,42 is 240240

GCF of denominators i.e. for 16,37,31,815 is 1.

Thus, LCM of Fractions is 240240.Finally, LCM of Fractions for 66/16, 80/37, 78/31, 42/815 is 240240.