Least Common Multiple of 826/32, 496/49, 438/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/32, 496/49, 438/213 quickly i.e. 44861712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/32, 496/49, 438/213 is 44861712.

LCM(826/32, 496/49, 438/213) = 44861712

LCM of 826/32, 496/49, 438/213

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 826/32,496/49,438/213

Given numbers are 826/32,496/49,438/213

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 826,496,438

Least Common Multiple of Numerators i.e. LCM of 826,496,438 is 44861712.

GCF of Denominators means GCF of 32,49,213 as per the given fractions.

GCF of 32,49,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,496,438

LCM of Fractions 826/32,496/49,438/213 is 44861712

2 826, 496, 438
413, 248, 219

∴ So the LCM of the given numbers is 2 x 413 x 248 x 219 = 44861712

Least Common Multiple of 826,496,438 with GCF Formula

Least Common Multiple of 826,496,438 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 826,496,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,496,438) = 2

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

GCF(826,496,438) x common factors =2 x 2 = 4

LCM(826,496,438) = ( 826 × 496 × 438 ) / 4

LCM(826,496,438) = 179446848 / 4

LCM(826,496,438) = 44861712


Lets's calculate GCF of 32,49,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44861712/1

Therefore the LCM of Fractions 826/32,496/49,438/213 is 44861712

Greatest Common Factor of 32,49,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,49,213 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 49

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

1,7,49

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 32,49,213 . The biggest common factor number is the GCF number.
So the greatest common factor 32,49,213 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 826/32, 496/49, 438/213

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 826/32, 496/49, 438/213?

Answer: LCM of Numerators as per given numbers 826/32, 496/49, 438/213 is

LCM of Numerators i.e. for 826,496,438 is 44861712

GCF of denominators i.e. for 32,49,213 is 1.

Thus, LCM of Fractions is 44861712.Finally, LCM of Fractions for 826/32, 496/49, 438/213 is 44861712.