LCM of 571, 460, 893, 782, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 460, 893, 782, 153 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 571, 460, 893, 782, 153. So, keep reading to learn more.
Given numbers are 571,460,893,782,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,460,893,782,153 is 35886973140.
Find LCM of 571,460,893,782,153 with Prime Factorization
| 2 | 571, 460, 893, 782, 153 |
| 17 | 571, 230, 893, 391, 153 |
| 23 | 571, 230, 893, 23, 9 |
| 571, 10, 893, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 571 x 10 x 893 x 1 x 9 = 35886973140
Therefore, the lowest common multiple of 571,460,893,782,153 is 35886973140.
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.
571 x 460 x 893 x 782 x 153 = 28063612995480
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.
571 : 1, 571
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
893 : 1, 19, 47, 893
782 : 1, 2, 17, 23, 34, 46, 391, 782
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,460,893,782,153, is 1.
Now, the common factors can be found like this.
571:571
460:2x 2x 5x 23
893:19x 47
782:2x 17x 23
153:3x 3x 17
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 23 = 782
Therefore, the value for common factors is 782.
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 = 28063612995480/(1x782)
LCM = 28063612995480/782
LCM = 35886973140
Thus, we can understand that the LCM of 571,460,893,782,153 is 35886973140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 571, 460, 893, 782, 153
1. What is the LCM of 571, 460, 893, 782, 153?
Answer: LCM of 571, 460, 893, 782, 153 is 35886973140.
2. How to calculate the LCM of 571, 460, 893, 782, 153?
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 571, 460, 893, 782, 153.
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}.