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LCM of 392, 361, 218, 443, 503

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


Find the LCM of 392, 361, 218, 443, 503 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 392, 361, 218, 443, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,361,218,443,503

Given numbers are 392,361,218,443,503

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

The LCM of 392,361,218,443,503 is 3437094541832.

Find LCM of 392,361,218,443,503 with Prime Factorization


2 392, 361, 218, 443, 503
196, 361, 109, 443, 503

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

2 x 196 x 361 x 109 x 443 x 503 = 3437094541832

Therefore, the lowest common multiple of 392,361,218,443,503 is 3437094541832.

LCM Formula to Find Lowest Common Multiple of 392,361,218,443,503

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.

392 x 361 x 218 x 443 x 503 = 6874189083664

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

361 : 1, 19, 361

218 : 1, 2, 109, 218

443 : 1, 443

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,361,218,443,503, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

361:19x 19

218:2x 109

443:443

503:503

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6874189083664/(1x2)

LCM = 6874189083664/2

LCM = 3437094541832

Thus, we can understand that the LCM of 392,361,218,443,503 is 3437094541832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 361, 218, 443, 503

1. What is the LCM of 392, 361, 218, 443, 503?

Answer: LCM of 392, 361, 218, 443, 503 is 3437094541832.

2. How to calculate the LCM of 392, 361, 218, 443, 503?

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 392, 361, 218, 443, 503.

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}.