Least Common Multiple of 698/410, 1716/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/410, 1716/615 quickly i.e. 598884/205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/410, 1716/615 is 598884/205.

LCM(698/410, 1716/615) = 598884/205

LCM of 698/410, 1716/615

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 698/410,1716/615

Given numbers are 698/410,1716/615

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 698,1716

Least Common Multiple of Numerators i.e. LCM of 698,1716 is 598884.

GCF of Denominators means GCF of 410,615 as per the given fractions.

GCF of 410,615 is 205 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,1716

LCM of Fractions 698/410,1716/615 is 598884/205

2 698, 1716
349, 858

∴ So the LCM of the given numbers is 2 x 349 x 858 = 598884

Least Common Multiple of 698,1716 with GCF Formula

Least Common Multiple of 698,1716 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 698,1716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,1716) = 2

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

GCF(698,1716) x common factors =2 x 1 = 2

LCM(698,1716) = ( 698 × 1716 ) / 2

LCM(698,1716) = 1197768 / 2

LCM(698,1716) = 598884


Lets's calculate GCF of 410,615

5 410, 615
41 82, 123
2, 3

∴ So the GCF of the given numbers is 5 x 41 = 205

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598884/205

Therefore the LCM of Fractions 698/410,1716/615 is 598884/205

Greatest Common Factor of 410,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,615 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 410,615 . The biggest common factor number is the GCF number.
So the greatest common factor 410,615 is 205.


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 698/410, 1716/615

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 698/410, 1716/615?

Answer: LCM of Numerators as per given numbers 698/410, 1716/615 is

LCM of Numerators i.e. for 698,1716 is 598884

GCF of denominators i.e. for 410,615 is 205.

Thus, LCM of Fractions is 598884/205.Finally, LCM of Fractions for 698/410, 1716/615 is 598884/205.