LCM of 578, 305, 765, 882, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 305, 765, 882, 910 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 578, 305, 765, 882, 910. So, keep reading to learn more.
Given numbers are 578,305,765,882,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,305,765,882,910 is 1010670570.
Find LCM of 578,305,765,882,910 with Prime Factorization
| 2 | 578, 305, 765, 882, 910 |
| 3 | 289, 305, 765, 441, 455 |
| 3 | 289, 305, 255, 147, 455 |
| 5 | 289, 305, 85, 49, 455 |
| 7 | 289, 61, 17, 49, 91 |
| 17 | 289, 61, 17, 7, 13 |
| 1, 61, 17, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 17 x 1 x 61 x 17 x 7 x 13 = 1010670570
Therefore, the lowest common multiple of 578,305,765,882,910 is 1010670570.
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.
578 x 305 x 765 x 882 x 910 = 108242818047000
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.
578 : 1, 2, 17, 34, 289, 578
305 : 1, 5, 61, 305
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,305,765,882,910, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
305:5x 61
765:3x 3x 5x 17
882:2x 3x 3x 7x 7
910:2x 5x 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.
2x 2x 3x 3x 5x 5x 7x 17 = 107100
Therefore, the value for common factors is 107100.
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 = 108242818047000/(1x107100)
LCM = 108242818047000/107100
LCM = 1010670570
Thus, we can understand that the LCM of 578,305,765,882,910 is 1010670570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 305, 765, 882, 910
1. What is the LCM of 578, 305, 765, 882, 910?
Answer: LCM of 578, 305, 765, 882, 910 is 1010670570.
2. How to calculate the LCM of 578, 305, 765, 882, 910?
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 578, 305, 765, 882, 910.
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}.