Least Common Multiple of 699/515, 102/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/515, 102/403 quickly i.e. 23766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/515, 102/403 is 23766.

LCM(699/515, 102/403) = 23766

LCM of 699/515, 102/403

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 699/515,102/403

Given numbers are 699/515,102/403

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 699,102

Least Common Multiple of Numerators i.e. LCM of 699,102 is 23766.

GCF of Denominators means GCF of 515,403 as per the given fractions.

GCF of 515,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,102

LCM of Fractions 699/515,102/403 is 23766

3 699, 102
233, 34

∴ So the LCM of the given numbers is 3 x 233 x 34 = 23766

Least Common Multiple of 699,102 with GCF Formula

Least Common Multiple of 699,102 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 699,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,102) = 3

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

GCF(699,102) x common factors =3 x 1 = 3

LCM(699,102) = ( 699 × 102 ) / 3

LCM(699,102) = 71298 / 3

LCM(699,102) = 23766


Lets's calculate GCF of 515,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23766/1

Therefore the LCM of Fractions 699/515,102/403 is 23766

Greatest Common Factor of 515,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,403 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 515,403 . The biggest common factor number is the GCF number.
So the greatest common factor 515,403 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 699/515, 102/403

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 699/515, 102/403?

Answer: LCM of Numerators as per given numbers 699/515, 102/403 is

LCM of Numerators i.e. for 699,102 is 23766

GCF of denominators i.e. for 515,403 is 1.

Thus, LCM of Fractions is 23766.Finally, LCM of Fractions for 699/515, 102/403 is 23766.