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LCM of 662, 924, 129, 936, 813

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


Find the LCM of 662, 924, 129, 936, 813 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 662, 924, 129, 936, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,924,129,936,813

Given numbers are 662,924,129,936,813

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

The LCM of 662,924,129,936,813 is 277992010296.

Find LCM of 662,924,129,936,813 with Prime Factorization


2 662, 924, 129, 936, 813
2 331, 462, 129, 468, 813
3 331, 231, 129, 234, 813
331, 77, 43, 78, 271

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

2 x 2 x 3 x 331 x 77 x 43 x 78 x 271 = 277992010296

Therefore, the lowest common multiple of 662,924,129,936,813 is 277992010296.

LCM Formula to Find Lowest Common Multiple of 662,924,129,936,813

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.

662 x 924 x 129 x 936 x 813 = 60046274223936

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.

662 : 1, 2, 331, 662

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

129 : 1, 3, 43, 129

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,924,129,936,813, is 1.

Now, the common factors can be found like this.

662:2x 331

924:2x 2x 3x 7x 11

129:3x 43

936:2x 2x 2x 3x 3x 13

813:3x 271

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 60046274223936/(1x216)

LCM = 60046274223936/216

LCM = 277992010296

Thus, we can understand that the LCM of 662,924,129,936,813 is 277992010296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 924, 129, 936, 813

1. What is the LCM of 662, 924, 129, 936, 813?

Answer: LCM of 662, 924, 129, 936, 813 is 277992010296.

2. How to calculate the LCM of 662, 924, 129, 936, 813?

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 662, 924, 129, 936, 813.

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}.