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LCM of 658, 695, 636, 187, 874

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


Find the LCM of 658, 695, 636, 187, 874 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 658, 695, 636, 187, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 658,695,636,187,874

Given numbers are 658,695,636,187,874

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

The LCM of 658,695,636,187,874 is 11883951253020.

Find LCM of 658,695,636,187,874 with Prime Factorization


2 658, 695, 636, 187, 874
329, 695, 318, 187, 437

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

2 x 329 x 695 x 318 x 187 x 437 = 11883951253020

Therefore, the lowest common multiple of 658,695,636,187,874 is 11883951253020.

LCM Formula to Find Lowest Common Multiple of 658,695,636,187,874

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.

658 x 695 x 636 x 187 x 874 = 47535805012080

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.

658 : 1, 2, 7, 14, 47, 94, 329, 658

695 : 1, 5, 139, 695

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

187 : 1, 11, 17, 187

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,695,636,187,874, is 1.

Now, the common factors can be found like this.

658:2x 7x 47

695:5x 139

636:2x 2x 3x 53

187:11x 17

874:2x 19x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47535805012080/(1x4)

LCM = 47535805012080/4

LCM = 11883951253020

Thus, we can understand that the LCM of 658,695,636,187,874 is 11883951253020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 658, 695, 636, 187, 874

1. What is the LCM of 658, 695, 636, 187, 874?

Answer: LCM of 658, 695, 636, 187, 874 is 11883951253020.

2. How to calculate the LCM of 658, 695, 636, 187, 874?

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 658, 695, 636, 187, 874.

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}.