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LCM of 796, 645, 520, 709, 610

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


Find the LCM of 796, 645, 520, 709, 610 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 796, 645, 520, 709, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,645,520,709,610

Given numbers are 796,645,520,709,610

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

The LCM of 796,645,520,709,610 is 577327441080.

Find LCM of 796,645,520,709,610 with Prime Factorization


2 796, 645, 520, 709, 610
2 398, 645, 260, 709, 305
5 199, 645, 130, 709, 305
199, 129, 26, 709, 61

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

2 x 2 x 5 x 199 x 129 x 26 x 709 x 61 = 577327441080

Therefore, the lowest common multiple of 796,645,520,709,610 is 577327441080.

LCM Formula to Find Lowest Common Multiple of 796,645,520,709,610

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.

796 x 645 x 520 x 709 x 610 = 115465488216000

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.

796 : 1, 2, 4, 199, 398, 796

645 : 1, 3, 5, 15, 43, 129, 215, 645

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

709 : 1, 709

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,645,520,709,610, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

645:3x 5x 43

520:2x 2x 2x 5x 13

709:709

610:2x 5x 61

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 115465488216000/(1x200)

LCM = 115465488216000/200

LCM = 577327441080

Thus, we can understand that the LCM of 796,645,520,709,610 is 577327441080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 645, 520, 709, 610

1. What is the LCM of 796, 645, 520, 709, 610?

Answer: LCM of 796, 645, 520, 709, 610 is 577327441080.

2. How to calculate the LCM of 796, 645, 520, 709, 610?

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 796, 645, 520, 709, 610.

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}.