LCM of 570, 880, 889, 693, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 880, 889, 693, 763 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 570, 880, 889, 693, 763. So, keep reading to learn more.
Given numbers are 570,880,889,693,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,880,889,693,763 is 14581662480.
Find LCM of 570,880,889,693,763 with Prime Factorization
| 2 | 570, 880, 889, 693, 763 |
| 3 | 285, 440, 889, 693, 763 |
| 5 | 95, 440, 889, 231, 763 |
| 7 | 19, 88, 889, 231, 763 |
| 11 | 19, 88, 127, 33, 109 |
| 19, 8, 127, 3, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 19 x 8 x 127 x 3 x 109 = 14581662480
Therefore, the lowest common multiple of 570,880,889,693,763 is 14581662480.
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.
570 x 880 x 889 x 693 x 763 = 235785482301600
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
889 : 1, 7, 127, 889
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,880,889,693,763, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
880:2x 2x 2x 2x 5x 11
889:7x 127
693:3x 3x 7x 11
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 7x 11 = 16170
Therefore, the value for common factors is 16170.
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 = 235785482301600/(1x16170)
LCM = 235785482301600/16170
LCM = 14581662480
Thus, we can understand that the LCM of 570,880,889,693,763 is 14581662480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 570, 880, 889, 693, 763
1. What is the LCM of 570, 880, 889, 693, 763?
Answer: LCM of 570, 880, 889, 693, 763 is 14581662480.
2. How to calculate the LCM of 570, 880, 889, 693, 763?
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 570, 880, 889, 693, 763.
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}.