Least Common Multiple of 929/20, 693/19, 266/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 929/20, 693/19, 266/298 quickly i.e. 24464286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/20, 693/19, 266/298 is 24464286.

LCM(929/20, 693/19, 266/298) = 24464286

LCM of 929/20, 693/19, 266/298

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 929/20,693/19,266/298

Given numbers are 929/20,693/19,266/298

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 929,693,266

Least Common Multiple of Numerators i.e. LCM of 929,693,266 is 24464286.

GCF of Denominators means GCF of 20,19,298 as per the given fractions.

GCF of 20,19,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,693,266

LCM of Fractions 929/20,693/19,266/298 is 24464286

7 929, 693, 266
929, 99, 38

∴ So the LCM of the given numbers is 7 x 929 x 99 x 38 = 24464286

Least Common Multiple of 929,693,266 with GCF Formula

Least Common Multiple of 929,693,266 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 929,693,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,693,266) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(929,693,266) x common factors =1 x 7 = 7

LCM(929,693,266) = ( 929 × 693 × 266 ) / 7

LCM(929,693,266) = 171250002 / 7

LCM(929,693,266) = 24464286


Lets's calculate GCF of 20,19,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24464286/1

Therefore the LCM of Fractions 929/20,693/19,266/298 is 24464286

Greatest Common Factor of 20,19,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,19,298 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 20,19,298 . The biggest common factor number is the GCF number.
So the greatest common factor 20,19,298 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 929/20, 693/19, 266/298

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 929/20, 693/19, 266/298?

Answer: LCM of Numerators as per given numbers 929/20, 693/19, 266/298 is

LCM of Numerators i.e. for 929,693,266 is 24464286

GCF of denominators i.e. for 20,19,298 is 1.

Thus, LCM of Fractions is 24464286.Finally, LCM of Fractions for 929/20, 693/19, 266/298 is 24464286.