Least Common Multiple of 10/592, 53/998, 294/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/592, 53/998, 294/990 quickly i.e. 38955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/592, 53/998, 294/990 is 38955.

LCM(10/592, 53/998, 294/990) = 38955

LCM of 10/592, 53/998, 294/990

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 10/592,53/998,294/990

Given numbers are 10/592,53/998,294/990

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 10,53,294

Least Common Multiple of Numerators i.e. LCM of 10,53,294 is 77910.

GCF of Denominators means GCF of 592,998,990 as per the given fractions.

GCF of 592,998,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,53,294

LCM of Fractions 10/592,53/998,294/990 is 38955

2 10, 53, 294
5, 53, 147

∴ So the LCM of the given numbers is 2 x 5 x 53 x 147 = 77910

Least Common Multiple of 10,53,294 with GCF Formula

Least Common Multiple of 10,53,294 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 10,53,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,53,294) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,53,294) x common factors =1 x 2 = 2

LCM(10,53,294) = ( 10 × 53 × 294 ) / 2

LCM(10,53,294) = 155820 / 2

LCM(10,53,294) = 77910


Lets's calculate GCF of 592,998,990

2 592, 998, 990
296, 499, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77910/2

Therefore the LCM of Fractions 10/592,53/998,294/990 is 38955

Greatest Common Factor of 592,998,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,998,990 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 592,998,990 . The biggest common factor number is the GCF number.
So the greatest common factor 592,998,990 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 10/592, 53/998, 294/990

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 10/592, 53/998, 294/990?

Answer: LCM of Numerators as per given numbers 10/592, 53/998, 294/990 is

LCM of Numerators i.e. for 10,53,294 is 77910

GCF of denominators i.e. for 592,998,990 is 2.

Thus, LCM of Fractions is 38955.Finally, LCM of Fractions for 10/592, 53/998, 294/990 is 38955.