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LCM of 326, 611, 221, 886

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


Find the LCM of 326, 611, 221, 886 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 326, 611, 221, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,611,221,886

Given numbers are 326,611,221,886

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

The LCM of 326,611,221,886 is 1500069766.

Find LCM of 326,611,221,886 with Prime Factorization


2 326, 611, 221, 886
13 163, 611, 221, 443
163, 47, 17, 443

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

2 x 13 x 163 x 47 x 17 x 443 = 1500069766

Therefore, the lowest common multiple of 326,611,221,886 is 1500069766.

LCM Formula to Find Lowest Common Multiple of 326,611,221,886

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.

326 x 611 x 221 x 886 = 39001813916

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.

326 : 1, 2, 163, 326

611 : 1, 13, 47, 611

221 : 1, 13, 17, 221

886 : 1, 2, 443, 886

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,611,221,886, is 1.

Now, the common factors can be found like this.

326:2x 163

611:13x 47

221:13x 17

886:2x 443

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 39001813916/(1x26)

LCM = 39001813916/26

LCM = 1500069766

Thus, we can understand that the LCM of 326,611,221,886 is 1500069766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 611, 221, 886

1. What is the LCM of 326, 611, 221, 886?

Answer: LCM of 326, 611, 221, 886 is 1500069766.

2. How to calculate the LCM of 326, 611, 221, 886?

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 326, 611, 221, 886.

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}.