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LCM of 767, 320, 743, 743, 517

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


Find the LCM of 767, 320, 743, 743, 517 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 767, 320, 743, 743, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,320,743,743,517

Given numbers are 767,320,743,743,517

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

The LCM of 767,320,743,743,517 is 94281112640.

Find LCM of 767,320,743,743,517 with Prime Factorization


743 767, 320, 743, 743, 517
767, 320, 1, 1, 517

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

743 x 767 x 320 x 1 x 1 x 517 = 94281112640

Therefore, the lowest common multiple of 767,320,743,743,517 is 94281112640.

LCM Formula to Find Lowest Common Multiple of 767,320,743,743,517

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.

767 x 320 x 743 x 743 x 517 = 70050866691520

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.

767 : 1, 13, 59, 767

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

743 : 1, 743

743 : 1, 743

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,320,743,743,517, is 1.

Now, the common factors can be found like this.

767:13x 59

320:2x 2x 2x 2x 2x 2x 5

743:743

743:743

517:11x 47

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

743 = 743

Therefore, the value for common factors is 743.

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 = 70050866691520/(1x743)

LCM = 70050866691520/743

LCM = 94281112640

Thus, we can understand that the LCM of 767,320,743,743,517 is 94281112640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 320, 743, 743, 517

1. What is the LCM of 767, 320, 743, 743, 517?

Answer: LCM of 767, 320, 743, 743, 517 is 94281112640.

2. How to calculate the LCM of 767, 320, 743, 743, 517?

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 767, 320, 743, 743, 517.

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}.