Least Common Multiple of 835/845, 118/299, 298/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 835/845, 118/299, 298/271 quickly i.e. 14680970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 835/845, 118/299, 298/271 is 14680970.

LCM(835/845, 118/299, 298/271) = 14680970

LCM of 835/845, 118/299, 298/271

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 835/845,118/299,298/271

Given numbers are 835/845,118/299,298/271

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 835,118,298

Least Common Multiple of Numerators i.e. LCM of 835,118,298 is 14680970.

GCF of Denominators means GCF of 845,299,271 as per the given fractions.

GCF of 845,299,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 835,118,298

LCM of Fractions 835/845,118/299,298/271 is 14680970

2 835, 118, 298
835, 59, 149

∴ So the LCM of the given numbers is 2 x 835 x 59 x 149 = 14680970

Least Common Multiple of 835,118,298 with GCF Formula

Least Common Multiple of 835,118,298 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 835,118,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,118,298) = 1

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

GCF(835,118,298) x common factors =1 x 2 = 2

LCM(835,118,298) = ( 835 × 118 × 298 ) / 2

LCM(835,118,298) = 29361940 / 2

LCM(835,118,298) = 14680970


Lets's calculate GCF of 845,299,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14680970/1

Therefore the LCM of Fractions 835/845,118/299,298/271 is 14680970

Greatest Common Factor of 845,299,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,299,271 By Matching Biggest Common Factor Method

Factors of 845

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

1,5,13,65,169,845

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 845,299,271 . The biggest common factor number is the GCF number.
So the greatest common factor 845,299,271 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 835/845, 118/299, 298/271

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 835/845, 118/299, 298/271?

Answer: LCM of Numerators as per given numbers 835/845, 118/299, 298/271 is

LCM of Numerators i.e. for 835,118,298 is 14680970

GCF of denominators i.e. for 845,299,271 is 1.

Thus, LCM of Fractions is 14680970.Finally, LCM of Fractions for 835/845, 118/299, 298/271 is 14680970.