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LCM of 765, 217, 620, 706

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


Find the LCM of 765, 217, 620, 706 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 765, 217, 620, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,217,620,706

Given numbers are 765,217,620,706

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

The LCM of 765,217,620,706 is 234399060.

Find LCM of 765,217,620,706 with Prime Factorization


2 765, 217, 620, 706
5 765, 217, 310, 353
31 153, 217, 62, 353
153, 7, 2, 353

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

2 x 5 x 31 x 153 x 7 x 2 x 353 = 234399060

Therefore, the lowest common multiple of 765,217,620,706 is 234399060.

LCM Formula to Find Lowest Common Multiple of 765,217,620,706

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.

765 x 217 x 620 x 706 = 72663708600

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

217 : 1, 7, 31, 217

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,217,620,706, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

217:7x 31

620:2x 2x 5x 31

706:2x 353

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

2x 5x 31 = 310

Therefore, the value for common factors is 310.

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 = 72663708600/(1x310)

LCM = 72663708600/310

LCM = 234399060

Thus, we can understand that the LCM of 765,217,620,706 is 234399060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 217, 620, 706

1. What is the LCM of 765, 217, 620, 706?

Answer: LCM of 765, 217, 620, 706 is 234399060.

2. How to calculate the LCM of 765, 217, 620, 706?

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 765, 217, 620, 706.

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}.