Least Common Multiple of 696/517, 6316/4517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/517, 6316/4517 quickly i.e. 1098984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/517, 6316/4517 is 1098984.

LCM(696/517, 6316/4517) = 1098984

LCM of 696/517, 6316/4517

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 696/517,6316/4517

Given numbers are 696/517,6316/4517

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 696,6316

Least Common Multiple of Numerators i.e. LCM of 696,6316 is 1098984.

GCF of Denominators means GCF of 517,4517 as per the given fractions.

GCF of 517,4517 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,6316

LCM of Fractions 696/517,6316/4517 is 1098984

2 696, 6316
2 348, 3158
174, 1579

∴ So the LCM of the given numbers is 2 x 2 x 174 x 1579 = 1098984

Least Common Multiple of 696,6316 with GCF Formula

Least Common Multiple of 696,6316 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 696,6316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,6316) = 4

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

GCF(696,6316) x common factors =4 x 1 = 4

LCM(696,6316) = ( 696 × 6316 ) / 4

LCM(696,6316) = 4395936 / 4

LCM(696,6316) = 1098984


Lets's calculate GCF of 517,4517

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098984/1

Therefore the LCM of Fractions 696/517,6316/4517 is 1098984

Greatest Common Factor of 517,4517 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,4517 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 4517

List of positive integer factors of 4517 that divides 4517 without a remainder.

1,4517

Greatest Common Factor

We found the factors 517,4517 . The biggest common factor number is the GCF number.
So the greatest common factor 517,4517 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 696/517, 6316/4517

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 696/517, 6316/4517?

Answer: LCM of Numerators as per given numbers 696/517, 6316/4517 is

LCM of Numerators i.e. for 696,6316 is 1098984

GCF of denominators i.e. for 517,4517 is 1.

Thus, LCM of Fractions is 1098984.Finally, LCM of Fractions for 696/517, 6316/4517 is 1098984.