LCM of 767, 657, 767, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 657, 767, 819 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, 657, 767, 819. So, keep reading to learn more.
Given numbers are 767,657,767,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,657,767,819 is 3527433.
Find LCM of 767,657,767,819 with Prime Factorization
| 3 | 767, 657, 767, 819 |
| 3 | 767, 219, 767, 273 |
| 13 | 767, 73, 767, 91 |
| 59 | 59, 73, 59, 7 |
| 1, 73, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 59 x 1 x 73 x 1 x 7 = 3527433
Therefore, the lowest common multiple of 767,657,767,819 is 3527433.
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 657 x 767 x 819 = 316548309987
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
657 : 1, 3, 9, 73, 219, 657
767 : 1, 13, 59, 767
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,657,767,819, is 1.
Now, the common factors can be found like this.
767:13x 59
657:3x 3x 73
767:13x 59
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 13x 59 = 89739
Therefore, the value for common factors is 89739.
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 = 316548309987/(1x89739)
LCM = 316548309987/89739
LCM = 3527433
Thus, we can understand that the LCM of 767,657,767,819 is 3527433.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 767, 657, 767, 819
1. What is the LCM of 767, 657, 767, 819?
Answer: LCM of 767, 657, 767, 819 is 3527433.
2. How to calculate the LCM of 767, 657, 767, 819?
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, 657, 767, 819.
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}.