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LCM of 468, 695, 165, 638

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


Find the LCM of 468, 695, 165, 638 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 468, 695, 165, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,695,165,638

Given numbers are 468,695,165,638

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

The LCM of 468,695,165,638 is 103757940.

Find LCM of 468,695,165,638 with Prime Factorization


2 468, 695, 165, 638
3 234, 695, 165, 319
5 78, 695, 55, 319
11 78, 139, 11, 319
78, 139, 1, 29

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

2 x 3 x 5 x 11 x 78 x 139 x 1 x 29 = 103757940

Therefore, the lowest common multiple of 468,695,165,638 is 103757940.

LCM Formula to Find Lowest Common Multiple of 468,695,165,638

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.

468 x 695 x 165 x 638 = 34240120200

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

695 : 1, 5, 139, 695

165 : 1, 3, 5, 11, 15, 33, 55, 165

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,695,165,638, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

695:5x 139

165:3x 5x 11

638:2x 11x 29

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

2x 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 34240120200/(1x330)

LCM = 34240120200/330

LCM = 103757940

Thus, we can understand that the LCM of 468,695,165,638 is 103757940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 695, 165, 638

1. What is the LCM of 468, 695, 165, 638?

Answer: LCM of 468, 695, 165, 638 is 103757940.

2. How to calculate the LCM of 468, 695, 165, 638?

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 468, 695, 165, 638.

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}.