Least Common Multiple of 235/41, 694/49, 496/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 235/41, 694/49, 496/502 quickly i.e. 40446320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/41, 694/49, 496/502 is 40446320.

LCM(235/41, 694/49, 496/502) = 40446320

LCM of 235/41, 694/49, 496/502

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 235/41,694/49,496/502

Given numbers are 235/41,694/49,496/502

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 235,694,496

Least Common Multiple of Numerators i.e. LCM of 235,694,496 is 40446320.

GCF of Denominators means GCF of 41,49,502 as per the given fractions.

GCF of 41,49,502 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,694,496

LCM of Fractions 235/41,694/49,496/502 is 40446320

2 235, 694, 496
235, 347, 248

∴ So the LCM of the given numbers is 2 x 235 x 347 x 248 = 40446320

Least Common Multiple of 235,694,496 with GCF Formula

Least Common Multiple of 235,694,496 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 235,694,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,694,496) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(235,694,496) x common factors =1 x 2 = 2

LCM(235,694,496) = ( 235 × 694 × 496 ) / 2

LCM(235,694,496) = 80892640 / 2

LCM(235,694,496) = 40446320


Lets's calculate GCF of 41,49,502

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40446320/1

Therefore the LCM of Fractions 235/41,694/49,496/502 is 40446320

Greatest Common Factor of 41,49,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,49,502 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 41,49,502 . The biggest common factor number is the GCF number.
So the greatest common factor 41,49,502 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 235/41, 694/49, 496/502

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 235/41, 694/49, 496/502?

Answer: LCM of Numerators as per given numbers 235/41, 694/49, 496/502 is

LCM of Numerators i.e. for 235,694,496 is 40446320

GCF of denominators i.e. for 41,49,502 is 1.

Thus, LCM of Fractions is 40446320.Finally, LCM of Fractions for 235/41, 694/49, 496/502 is 40446320.