Find the LCM of 765, 221, 902, 476, 629 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, 221, 902, 476, 629. So, keep reading to learn more.
Given numbers are 765,221,902,476,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,221,902,476,629 is 4646662020.
Find LCM of 765,221,902,476,629 with Prime Factorization
2 | 765, 221, 902, 476, 629 |
17 | 765, 221, 451, 238, 629 |
45, 13, 451, 14, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 45 x 13 x 451 x 14 x 37 = 4646662020
Therefore, the lowest common multiple of 765,221,902,476,629 is 4646662020.
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 221 x 902 x 476 x 629 = 45658101008520
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
221 : 1, 13, 17, 221
902 : 1, 2, 11, 22, 41, 82, 451, 902
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,221,902,476,629, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
221:13x 17
902:2x 11x 41
476:2x 2x 7x 17
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17x 17 = 9826
Therefore, the value for common factors is 9826.
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 = 45658101008520/(1x9826)
LCM = 45658101008520/9826
LCM = 4646662020
Thus, we can understand that the LCM of 765,221,902,476,629 is 4646662020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 221, 902, 476, 629?
Answer: LCM of 765, 221, 902, 476, 629 is 4646662020.
2. How to calculate the LCM of 765, 221, 902, 476, 629?
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, 221, 902, 476, 629.
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}.