Least Common Multiple of 15/242, 49/842, 293/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/242, 49/842, 293/845 quickly i.e. 215355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/242, 49/842, 293/845 is 215355.

LCM(15/242, 49/842, 293/845) = 215355

LCM of 15/242, 49/842, 293/845

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 15/242,49/842,293/845

Given numbers are 15/242,49/842,293/845

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 15,49,293

Least Common Multiple of Numerators i.e. LCM of 15,49,293 is 215355.

GCF of Denominators means GCF of 242,842,845 as per the given fractions.

GCF of 242,842,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,49,293

LCM of Fractions 15/242,49/842,293/845 is 215355

Given numbers has no common factors except 1. So, there LCM is their product i.e 215355

Least Common Multiple of 15,49,293 with GCF Formula

Least Common Multiple of 15,49,293 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 15,49,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,49,293) = 1

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

GCF(15,49,293) x common factors =1 x 1 = 1

LCM(15,49,293) = ( 15 × 49 × 293 ) / 1

LCM(15,49,293) = 215355 / 1

LCM(15,49,293) = 215355


Lets's calculate GCF of 242,842,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215355/1

Therefore the LCM of Fractions 15/242,49/842,293/845 is 215355

Greatest Common Factor of 242,842,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,842,845 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 242,842,845 . The biggest common factor number is the GCF number.
So the greatest common factor 242,842,845 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 15/242, 49/842, 293/845

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 15/242, 49/842, 293/845?

Answer: LCM of Numerators as per given numbers 15/242, 49/842, 293/845 is

LCM of Numerators i.e. for 15,49,293 is 215355

GCF of denominators i.e. for 242,842,845 is 1.

Thus, LCM of Fractions is 215355.Finally, LCM of Fractions for 15/242, 49/842, 293/845 is 215355.