Least Common Multiple of 83/698, 17/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/698, 17/231 quickly i.e. 1411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/698, 17/231 is 1411.

LCM(83/698, 17/231) = 1411

LCM of 83/698, 17/231

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 83/698,17/231

Given numbers are 83/698,17/231

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 83,17

Least Common Multiple of Numerators i.e. LCM of 83,17 is 1411.

GCF of Denominators means GCF of 698,231 as per the given fractions.

GCF of 698,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,17

LCM of Fractions 83/698,17/231 is 1411

Given numbers has no common factors except 1. So, there LCM is their product i.e 1411

Least Common Multiple of 83,17 with GCF Formula

Least Common Multiple of 83,17 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 83,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,17) = 1

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

GCF(83,17) x common factors =1 x 1 = 1

LCM(83,17) = ( 83 × 17 ) / 1

LCM(83,17) = 1411 / 1

LCM(83,17) = 1411


Lets's calculate GCF of 698,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1411/1

Therefore the LCM of Fractions 83/698,17/231 is 1411

Greatest Common Factor of 698,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,231 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 698,231 . The biggest common factor number is the GCF number.
So the greatest common factor 698,231 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 83/698, 17/231

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 83/698, 17/231?

Answer: LCM of Numerators as per given numbers 83/698, 17/231 is

LCM of Numerators i.e. for 83,17 is 1411

GCF of denominators i.e. for 698,231 is 1.

Thus, LCM of Fractions is 1411.Finally, LCM of Fractions for 83/698, 17/231 is 1411.