LCM of 777, 814, 790, 329, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 814, 790, 329, 602 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 777, 814, 790, 329, 602. So, keep reading to learn more.
Given numbers are 777,814,790,329,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,814,790,329,602 is 13646054730.
Find LCM of 777,814,790,329,602 with Prime Factorization
| 2 | 777, 814, 790, 329, 602 |
| 7 | 777, 407, 395, 329, 301 |
| 37 | 111, 407, 395, 47, 43 |
| 3, 11, 395, 47, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 3 x 11 x 395 x 47 x 43 = 13646054730
Therefore, the lowest common multiple of 777,814,790,329,602 is 13646054730.
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.
777 x 814 x 790 x 329 x 602 = 98961188901960
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
814 : 1, 2, 11, 22, 37, 74, 407, 814
790 : 1, 2, 5, 10, 79, 158, 395, 790
329 : 1, 7, 47, 329
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,814,790,329,602, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
814:2x 11x 37
790:2x 5x 79
329:7x 47
602:2x 7x 43
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 7x 7x 37 = 7252
Therefore, the value for common factors is 7252.
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 = 98961188901960/(1x7252)
LCM = 98961188901960/7252
LCM = 13646054730
Thus, we can understand that the LCM of 777,814,790,329,602 is 13646054730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 777, 814, 790, 329, 602
1. What is the LCM of 777, 814, 790, 329, 602?
Answer: LCM of 777, 814, 790, 329, 602 is 13646054730.
2. How to calculate the LCM of 777, 814, 790, 329, 602?
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 777, 814, 790, 329, 602.
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}.