Least Common Multiple of 65/71, 47/583, 298/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/71, 47/583, 298/411 quickly i.e. 910390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/71, 47/583, 298/411 is 910390.

LCM(65/71, 47/583, 298/411) = 910390

LCM of 65/71, 47/583, 298/411

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 65/71,47/583,298/411

Given numbers are 65/71,47/583,298/411

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 65,47,298

Least Common Multiple of Numerators i.e. LCM of 65,47,298 is 910390.

GCF of Denominators means GCF of 71,583,411 as per the given fractions.

GCF of 71,583,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,47,298

LCM of Fractions 65/71,47/583,298/411 is 910390

Given numbers has no common factors except 1. So, there LCM is their product i.e 910390

Least Common Multiple of 65,47,298 with GCF Formula

Least Common Multiple of 65,47,298 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 65,47,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,47,298) = 1

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

GCF(65,47,298) x common factors =1 x 1 = 1

LCM(65,47,298) = ( 65 × 47 × 298 ) / 1

LCM(65,47,298) = 910390 / 1

LCM(65,47,298) = 910390


Lets's calculate GCF of 71,583,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910390/1

Therefore the LCM of Fractions 65/71,47/583,298/411 is 910390

Greatest Common Factor of 71,583,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,583,411 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 71,583,411 . The biggest common factor number is the GCF number.
So the greatest common factor 71,583,411 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/71, 47/583, 298/411

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 65/71, 47/583, 298/411?

Answer: LCM of Numerators as per given numbers 65/71, 47/583, 298/411 is

LCM of Numerators i.e. for 65,47,298 is 910390

GCF of denominators i.e. for 71,583,411 is 1.

Thus, LCM of Fractions is 910390.Finally, LCM of Fractions for 65/71, 47/583, 298/411 is 910390.