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LCM of 636, 621, 652, 516, 930

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


Find the LCM of 636, 621, 652, 516, 930 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 636, 621, 652, 516, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 636,621,652,516,930

Given numbers are 636,621,652,516,930

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

The LCM of 636,621,652,516,930 is 143026074540.

Find LCM of 636,621,652,516,930 with Prime Factorization


2 636, 621, 652, 516, 930
2 318, 621, 326, 258, 465
3 159, 621, 163, 129, 465
53, 207, 163, 43, 155

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

2 x 2 x 3 x 53 x 207 x 163 x 43 x 155 = 143026074540

Therefore, the lowest common multiple of 636,621,652,516,930 is 143026074540.

LCM Formula to Find Lowest Common Multiple of 636,621,652,516,930

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.

636 x 621 x 652 x 516 x 930 = 123574528402560

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.

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

621 : 1, 3, 9, 23, 27, 69, 207, 621

652 : 1, 2, 4, 163, 326, 652

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,621,652,516,930, is 1.

Now, the common factors can be found like this.

636:2x 2x 3x 53

621:3x 3x 3x 23

652:2x 2x 163

516:2x 2x 3x 43

930:2x 3x 5x 31

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 123574528402560/(1x864)

LCM = 123574528402560/864

LCM = 143026074540

Thus, we can understand that the LCM of 636,621,652,516,930 is 143026074540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 636, 621, 652, 516, 930

1. What is the LCM of 636, 621, 652, 516, 930?

Answer: LCM of 636, 621, 652, 516, 930 is 143026074540.

2. How to calculate the LCM of 636, 621, 652, 516, 930?

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 636, 621, 652, 516, 930.

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}.