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LCM of 867, 616, 408, 967, 553

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


Find the LCM of 867, 616, 408, 967, 553 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 867, 616, 408, 967, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,616,408,967,553

Given numbers are 867,616,408,967,553

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

The LCM of 867,616,408,967,553 is 40799362296.

Find LCM of 867,616,408,967,553 with Prime Factorization


2 867, 616, 408, 967, 553
2 867, 308, 204, 967, 553
2 867, 154, 102, 967, 553
3 867, 77, 51, 967, 553
7 289, 77, 17, 967, 553
17 289, 11, 17, 967, 79
1, 11, 17, 967, 79

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

2 x 2 x 2 x 3 x 7 x 17 x 1 x 11 x 17 x 967 x 79 = 40799362296

Therefore, the lowest common multiple of 867,616,408,967,553 is 40799362296.

LCM Formula to Find Lowest Common Multiple of 867,616,408,967,553

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.

867 x 616 x 408 x 967 x 553 = 116522978717376

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.

867 : 1, 3, 17, 51, 289, 867

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

967 : 1, 967

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,616,408,967,553, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

616:2x 2x 2x 7x 11

408:2x 2x 2x 3x 17

967:967

553:7x 79

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 7x 17 = 2856

Therefore, the value for common factors is 2856.

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 = 116522978717376/(1x2856)

LCM = 116522978717376/2856

LCM = 40799362296

Thus, we can understand that the LCM of 867,616,408,967,553 is 40799362296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 616, 408, 967, 553

1. What is the LCM of 867, 616, 408, 967, 553?

Answer: LCM of 867, 616, 408, 967, 553 is 40799362296.

2. How to calculate the LCM of 867, 616, 408, 967, 553?

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 867, 616, 408, 967, 553.

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}.