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LCM of 383, 541, 541, 213

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 383, 541, 541, 213 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 383, 541, 541, 213. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,541,541,213

Given numbers are 383,541,541,213

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 383,541,541,213 is 44134239.

Find LCM of 383,541,541,213 with Prime Factorization


541 383, 541, 541, 213
383, 1, 1, 213

Multiply the prime numbers at the bottom and the left side.

541 x 383 x 1 x 1 x 213 = 44134239

Therefore, the lowest common multiple of 383,541,541,213 is 44134239.

LCM Formula to Find Lowest Common Multiple of 383,541,541,213

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

383 x 541 x 541 x 213 = 23876623299

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

383 : 1, 383

541 : 1, 541

541 : 1, 541

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,541,541,213, is 1.

Now, the common factors can be found like this.

383:383

541:541

541:541

213:3x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

541 = 541

Therefore, the value for common factors is 541.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 23876623299/(1x541)

LCM = 23876623299/541

LCM = 44134239

Thus, we can understand that the LCM of 383,541,541,213 is 44134239.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 541, 541, 213

1. What is the LCM of 383, 541, 541, 213?

Answer: LCM of 383, 541, 541, 213 is 44134239.

2. How to calculate the LCM of 383, 541, 541, 213?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 383, 541, 541, 213.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.