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LCM of 869, 763, 616, 637, 396

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


Find the LCM of 869, 763, 616, 637, 396 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 869, 763, 616, 637, 396. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,763,616,637,396

Given numbers are 869,763,616,637,396

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

The LCM of 869,763,616,637,396 is 4344283944.

Find LCM of 869,763,616,637,396 with Prime Factorization


2 869, 763, 616, 637, 396
2 869, 763, 308, 637, 198
7 869, 763, 154, 637, 99
11 869, 109, 22, 91, 99
79, 109, 2, 91, 9

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

2 x 2 x 7 x 11 x 79 x 109 x 2 x 91 x 9 = 4344283944

Therefore, the lowest common multiple of 869,763,616,637,396 is 4344283944.

LCM Formula to Find Lowest Common Multiple of 869,763,616,637,396

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.

869 x 763 x 616 x 637 x 396 = 103029038015904

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.

869 : 1, 11, 79, 869

763 : 1, 7, 109, 763

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

637 : 1, 7, 13, 49, 91, 637

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,763,616,637,396, is 1.

Now, the common factors can be found like this.

869:11x 79

763:7x 109

616:2x 2x 2x 7x 11

637:7x 7x 13

396:2x 2x 3x 3x 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 7x 7x 11x 11 = 23716

Therefore, the value for common factors is 23716.

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 = 103029038015904/(1x23716)

LCM = 103029038015904/23716

LCM = 4344283944

Thus, we can understand that the LCM of 869,763,616,637,396 is 4344283944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 763, 616, 637, 396

1. What is the LCM of 869, 763, 616, 637, 396?

Answer: LCM of 869, 763, 616, 637, 396 is 4344283944.

2. How to calculate the LCM of 869, 763, 616, 637, 396?

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 869, 763, 616, 637, 396.

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}.