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LCM of 280, 106, 702, 634, 634

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


Find the LCM of 280, 106, 702, 634, 634 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 280, 106, 702, 634, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,106,702,634,634

Given numbers are 280,106,702,634,634

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

The LCM of 280,106,702,634,634 is 1651202280.

Find LCM of 280,106,702,634,634 with Prime Factorization


2 280, 106, 702, 634, 634
317 140, 53, 351, 317, 317
140, 53, 351, 1, 1

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

2 x 317 x 140 x 53 x 351 x 1 x 1 = 1651202280

Therefore, the lowest common multiple of 280,106,702,634,634 is 1651202280.

LCM Formula to Find Lowest Common Multiple of 280,106,702,634,634

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.

280 x 106 x 702 x 634 x 634 = 8374897964160

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

106 : 1, 2, 53, 106

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

634 : 1, 2, 317, 634

634 : 1, 2, 317, 634

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,106,702,634,634, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

106:2x 53

702:2x 3x 3x 3x 13

634:2x 317

634:2x 317

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 317 = 2536

Therefore, the value for common factors is 2536.

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 = 8374897964160/(2x2536)

LCM = 8374897964160/5072

LCM = 1651202280

Thus, we can understand that the LCM of 280,106,702,634,634 is 1651202280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 106, 702, 634, 634

1. What is the LCM of 280, 106, 702, 634, 634?

Answer: LCM of 280, 106, 702, 634, 634 is 1651202280.

2. How to calculate the LCM of 280, 106, 702, 634, 634?

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 280, 106, 702, 634, 634.

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}.