Least Common Multiple of 19/80, 23/66, 37/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/80, 23/66, 37/926 quickly i.e. 16169/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/80, 23/66, 37/926 is 16169/2.

LCM(19/80, 23/66, 37/926) = 16169/2

LCM of 19/80, 23/66, 37/926

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 19/80,23/66,37/926

Given numbers are 19/80,23/66,37/926

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 19,23,37

Least Common Multiple of Numerators i.e. LCM of 19,23,37 is 16169.

GCF of Denominators means GCF of 80,66,926 as per the given fractions.

GCF of 80,66,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,23,37

LCM of Fractions 19/80,23/66,37/926 is 16169/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 16169

Least Common Multiple of 19,23,37 with GCF Formula

Least Common Multiple of 19,23,37 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 19,23,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,23,37) = 1

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

GCF(19,23,37) x common factors =1 x 1 = 1

LCM(19,23,37) = ( 19 × 23 × 37 ) / 1

LCM(19,23,37) = 16169 / 1

LCM(19,23,37) = 16169


Lets's calculate GCF of 80,66,926

2 80, 66, 926
40, 33, 463

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16169/2

Therefore the LCM of Fractions 19/80,23/66,37/926 is 16169/2

Greatest Common Factor of 80,66,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,66,926 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

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 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 80,66,926 . The biggest common factor number is the GCF number.
So the greatest common factor 80,66,926 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/80, 23/66, 37/926

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 19/80, 23/66, 37/926?

Answer: LCM of Numerators as per given numbers 19/80, 23/66, 37/926 is

LCM of Numerators i.e. for 19,23,37 is 16169

GCF of denominators i.e. for 80,66,926 is 2.

Thus, LCM of Fractions is 16169/2.Finally, LCM of Fractions for 19/80, 23/66, 37/926 is 16169/2.