Least Common Multiple of 292/898, 215/313, 509/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/898, 215/313, 509/394 quickly i.e. 31955020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/898, 215/313, 509/394 is 31955020.

LCM(292/898, 215/313, 509/394) = 31955020

LCM of 292/898, 215/313, 509/394

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 292/898,215/313,509/394

Given numbers are 292/898,215/313,509/394

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 292,215,509

Least Common Multiple of Numerators i.e. LCM of 292,215,509 is 31955020.

GCF of Denominators means GCF of 898,313,394 as per the given fractions.

GCF of 898,313,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,215,509

LCM of Fractions 292/898,215/313,509/394 is 31955020

Given numbers has no common factors except 1. So, there LCM is their product i.e 31955020

Least Common Multiple of 292,215,509 with GCF Formula

Least Common Multiple of 292,215,509 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 292,215,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,215,509) = 1

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

GCF(292,215,509) x common factors =1 x 1 = 1

LCM(292,215,509) = ( 292 × 215 × 509 ) / 1

LCM(292,215,509) = 31955020 / 1

LCM(292,215,509) = 31955020


Lets's calculate GCF of 898,313,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31955020/1

Therefore the LCM of Fractions 292/898,215/313,509/394 is 31955020

Greatest Common Factor of 898,313,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,313,394 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 898,313,394 . The biggest common factor number is the GCF number.
So the greatest common factor 898,313,394 is 1.


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 292/898, 215/313, 509/394

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 292/898, 215/313, 509/394?

Answer: LCM of Numerators as per given numbers 292/898, 215/313, 509/394 is

LCM of Numerators i.e. for 292,215,509 is 31955020

GCF of denominators i.e. for 898,313,394 is 1.

Thus, LCM of Fractions is 31955020.Finally, LCM of Fractions for 292/898, 215/313, 509/394 is 31955020.