Least Common Multiple of 695/46, 494/8303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 695/46, 494/8303 quickly i.e. 343330/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/46, 494/8303 is 343330/23.

LCM(695/46, 494/8303) = 343330/23

LCM of 695/46, 494/8303

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 695/46,494/8303

Given numbers are 695/46,494/8303

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 695,494

Least Common Multiple of Numerators i.e. LCM of 695,494 is 343330.

GCF of Denominators means GCF of 46,8303 as per the given fractions.

GCF of 46,8303 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,494

LCM of Fractions 695/46,494/8303 is 343330/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 343330

Least Common Multiple of 695,494 with GCF Formula

Least Common Multiple of 695,494 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 695,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,494) = 1

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

GCF(695,494) x common factors =1 x 1 = 1

LCM(695,494) = ( 695 × 494 ) / 1

LCM(695,494) = 343330 / 1

LCM(695,494) = 343330


Lets's calculate GCF of 46,8303

23 46, 8303
2, 361

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343330/23

Therefore the LCM of Fractions 695/46,494/8303 is 343330/23

Greatest Common Factor of 46,8303 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,8303 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 8303

List of positive integer factors of 8303 that divides 8303 without a remainder.

1,19,23,361,437,8303

Greatest Common Factor

We found the factors 46,8303 . The biggest common factor number is the GCF number.
So the greatest common factor 46,8303 is 23.


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 695/46, 494/8303

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 695/46, 494/8303?

Answer: LCM of Numerators as per given numbers 695/46, 494/8303 is

LCM of Numerators i.e. for 695,494 is 343330

GCF of denominators i.e. for 46,8303 is 23.

Thus, LCM of Fractions is 343330/23.Finally, LCM of Fractions for 695/46, 494/8303 is 343330/23.