Least Common Multiple of 496/36, 818/4358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/36, 818/4358 quickly i.e. 101432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/36, 818/4358 is 101432.

LCM(496/36, 818/4358) = 101432

LCM of 496/36, 818/4358

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 496/36,818/4358

Given numbers are 496/36,818/4358

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 496,818

Least Common Multiple of Numerators i.e. LCM of 496,818 is 202864.

GCF of Denominators means GCF of 36,4358 as per the given fractions.

GCF of 36,4358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,818

LCM of Fractions 496/36,818/4358 is 101432

2 496, 818
248, 409

∴ So the LCM of the given numbers is 2 x 248 x 409 = 202864

Least Common Multiple of 496,818 with GCF Formula

Least Common Multiple of 496,818 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 496,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,818) = 2

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

GCF(496,818) x common factors =2 x 1 = 2

LCM(496,818) = ( 496 × 818 ) / 2

LCM(496,818) = 405728 / 2

LCM(496,818) = 202864


Lets's calculate GCF of 36,4358

2 36, 4358
18, 2179

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202864/2

Therefore the LCM of Fractions 496/36,818/4358 is 101432

Greatest Common Factor of 36,4358 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,4358 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1,2,2179,4358

Greatest Common Factor

We found the factors 36,4358 . The biggest common factor number is the GCF number.
So the greatest common factor 36,4358 is 2.


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 496/36, 818/4358

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 496/36, 818/4358?

Answer: LCM of Numerators as per given numbers 496/36, 818/4358 is

LCM of Numerators i.e. for 496,818 is 202864

GCF of denominators i.e. for 36,4358 is 2.

Thus, LCM of Fractions is 101432.Finally, LCM of Fractions for 496/36, 818/4358 is 101432.