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LCM of 710, 565, 358, 713, 775

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


Find the LCM of 710, 565, 358, 713, 775 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 710, 565, 358, 713, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 710,565,358,713,775

Given numbers are 710,565,358,713,775

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

The LCM of 710,565,358,713,775 is 51197571050.

Find LCM of 710,565,358,713,775 with Prime Factorization


2 710, 565, 358, 713, 775
5 355, 565, 179, 713, 775
31 71, 113, 179, 713, 155
71, 113, 179, 23, 5

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

2 x 5 x 31 x 71 x 113 x 179 x 23 x 5 = 51197571050

Therefore, the lowest common multiple of 710,565,358,713,775 is 51197571050.

LCM Formula to Find Lowest Common Multiple of 710,565,358,713,775

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.

710 x 565 x 358 x 713 x 775 = 79356235127500

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.

710 : 1, 2, 5, 10, 71, 142, 355, 710

565 : 1, 5, 113, 565

358 : 1, 2, 179, 358

713 : 1, 23, 31, 713

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,565,358,713,775, is 1.

Now, the common factors can be found like this.

710:2x 5x 71

565:5x 113

358:2x 179

713:23x 31

775:5x 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 5x 5x 31 = 1550

Therefore, the value for common factors is 1550.

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 = 79356235127500/(1x1550)

LCM = 79356235127500/1550

LCM = 51197571050

Thus, we can understand that the LCM of 710,565,358,713,775 is 51197571050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 710, 565, 358, 713, 775

1. What is the LCM of 710, 565, 358, 713, 775?

Answer: LCM of 710, 565, 358, 713, 775 is 51197571050.

2. How to calculate the LCM of 710, 565, 358, 713, 775?

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 710, 565, 358, 713, 775.

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}.