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LCM of 119, 546, 212, 808, 484

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


Find the LCM of 119, 546, 212, 808, 484 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 119, 546, 212, 808, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,546,212,808,484

Given numbers are 119,546,212,808,484

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

The LCM of 119,546,212,808,484 is 24048288264.

Find LCM of 119,546,212,808,484 with Prime Factorization


2 119, 546, 212, 808, 484
2 119, 273, 106, 404, 242
7 119, 273, 53, 202, 121
17, 39, 53, 202, 121

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

2 x 2 x 7 x 17 x 39 x 53 x 202 x 121 = 24048288264

Therefore, the lowest common multiple of 119,546,212,808,484 is 24048288264.

LCM Formula to Find Lowest Common Multiple of 119,546,212,808,484

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.

119 x 546 x 212 x 808 x 484 = 5386816571136

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.

119 : 1, 7, 17, 119

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

212 : 1, 2, 4, 53, 106, 212

808 : 1, 2, 4, 8, 101, 202, 404, 808

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,546,212,808,484, is 1.

Now, the common factors can be found like this.

119:7x 17

546:2x 3x 7x 13

212:2x 2x 53

808:2x 2x 2x 101

484:2x 2x 11x 11

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 2x 2x 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 5386816571136/(1x224)

LCM = 5386816571136/224

LCM = 24048288264

Thus, we can understand that the LCM of 119,546,212,808,484 is 24048288264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 546, 212, 808, 484

1. What is the LCM of 119, 546, 212, 808, 484?

Answer: LCM of 119, 546, 212, 808, 484 is 24048288264.

2. How to calculate the LCM of 119, 546, 212, 808, 484?

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 119, 546, 212, 808, 484.

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}.