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LCM of 882, 583, 338, 636

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


Find the LCM of 882, 583, 338, 636 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 882, 583, 338, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,583,338,636

Given numbers are 882,583,338,636

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

The LCM of 882,583,338,636 is 173801628.

Find LCM of 882,583,338,636 with Prime Factorization


2 882, 583, 338, 636
3 441, 583, 169, 318
53 147, 583, 169, 106
147, 11, 169, 2

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

2 x 3 x 53 x 147 x 11 x 169 x 2 = 173801628

Therefore, the lowest common multiple of 882,583,338,636 is 173801628.

LCM Formula to Find Lowest Common Multiple of 882,583,338,636

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.

882 x 583 x 338 x 636 = 110537835408

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

583 : 1, 11, 53, 583

338 : 1, 2, 13, 26, 169, 338

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,583,338,636, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

583:11x 53

338:2x 13x 13

636:2x 2x 3x 53

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

2x 2x 3x 53 = 636

Therefore, the value for common factors is 636.

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 = 110537835408/(1x636)

LCM = 110537835408/636

LCM = 173801628

Thus, we can understand that the LCM of 882,583,338,636 is 173801628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 583, 338, 636

1. What is the LCM of 882, 583, 338, 636?

Answer: LCM of 882, 583, 338, 636 is 173801628.

2. How to calculate the LCM of 882, 583, 338, 636?

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 882, 583, 338, 636.

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}.