Find the LCM of 765, 429, 834, 475, 561 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, 429, 834, 475, 561. So, keep reading to learn more.
Given numbers are 765,429,834,475,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,429,834,475,561 is 2889121950.
Find LCM of 765,429,834,475,561 with Prime Factorization
3 | 765, 429, 834, 475, 561 |
5 | 255, 143, 278, 475, 187 |
11 | 51, 143, 278, 95, 187 |
17 | 51, 13, 278, 95, 17 |
3, 13, 278, 95, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 17 x 3 x 13 x 278 x 95 x 1 = 2889121950
Therefore, the lowest common multiple of 765,429,834,475,561 is 2889121950.
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 429 x 834 x 475 x 561 = 72935883627750
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
834 : 1, 2, 3, 6, 139, 278, 417, 834
475 : 1, 5, 19, 25, 95, 475
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,429,834,475,561, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
429:3x 11x 13
834:2x 3x 139
475:5x 5x 19
561:3x 11x 17
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 3x 5x 11x 17 = 25245
Therefore, the value for common factors is 25245.
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 = 72935883627750/(1x25245)
LCM = 72935883627750/25245
LCM = 2889121950
Thus, we can understand that the LCM of 765,429,834,475,561 is 2889121950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 765, 429, 834, 475, 561?
Answer: LCM of 765, 429, 834, 475, 561 is 2889121950.
2. How to calculate the LCM of 765, 429, 834, 475, 561?
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, 429, 834, 475, 561.
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}.