Least Common Multiple of 814/214, 3489/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/214, 3489/286 quickly i.e. 1420023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/214, 3489/286 is 1420023.

LCM(814/214, 3489/286) = 1420023

LCM of 814/214, 3489/286

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 814/214,3489/286

Given numbers are 814/214,3489/286

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 814,3489

Least Common Multiple of Numerators i.e. LCM of 814,3489 is 2840046.

GCF of Denominators means GCF of 214,286 as per the given fractions.

GCF of 214,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,3489

LCM of Fractions 814/214,3489/286 is 1420023

Given numbers has no common factors except 1. So, there LCM is their product i.e 2840046

Least Common Multiple of 814,3489 with GCF Formula

Least Common Multiple of 814,3489 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 814,3489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,3489) = 1

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

GCF(814,3489) x common factors =1 x 1 = 1

LCM(814,3489) = ( 814 × 3489 ) / 1

LCM(814,3489) = 2840046 / 1

LCM(814,3489) = 2840046


Lets's calculate GCF of 214,286

2 214, 286
107, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2840046/2

Therefore the LCM of Fractions 814/214,3489/286 is 1420023

Greatest Common Factor of 214,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,286 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 214,286 . The biggest common factor number is the GCF number.
So the greatest common factor 214,286 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 814/214, 3489/286

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 814/214, 3489/286?

Answer: LCM of Numerators as per given numbers 814/214, 3489/286 is

LCM of Numerators i.e. for 814,3489 is 2840046

GCF of denominators i.e. for 214,286 is 2.

Thus, LCM of Fractions is 1420023.Finally, LCM of Fractions for 814/214, 3489/286 is 1420023.