LCM of 319, 606, 561, 825, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 606, 561, 825, 730 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 319, 606, 561, 825, 730. So, keep reading to learn more.
Given numbers are 319,606,561,825,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,606,561,825,730 is 5997566850.
Find LCM of 319,606,561,825,730 with Prime Factorization
| 2 | 319, 606, 561, 825, 730 |
| 3 | 319, 303, 561, 825, 365 |
| 5 | 319, 101, 187, 275, 365 |
| 11 | 319, 101, 187, 55, 73 |
| 29, 101, 17, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 29 x 101 x 17 x 5 x 73 = 5997566850
Therefore, the lowest common multiple of 319,606,561,825,730 is 5997566850.
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.
319 x 606 x 561 x 825 x 730 = 65313502996500
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.
319 : 1, 11, 29, 319
606 : 1, 2, 3, 6, 101, 202, 303, 606
561 : 1, 3, 11, 17, 33, 51, 187, 561
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,606,561,825,730, is 1.
Now, the common factors can be found like this.
319:11x 29
606:2x 3x 101
561:3x 11x 17
825:3x 5x 5x 11
730:2x 5x 73
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 3x 5x 11x 11 = 10890
Therefore, the value for common factors is 10890.
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 = 65313502996500/(1x10890)
LCM = 65313502996500/10890
LCM = 5997566850
Thus, we can understand that the LCM of 319,606,561,825,730 is 5997566850.
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FAQs on LCM of 319, 606, 561, 825, 730
1. What is the LCM of 319, 606, 561, 825, 730?
Answer: LCM of 319, 606, 561, 825, 730 is 5997566850.
2. How to calculate the LCM of 319, 606, 561, 825, 730?
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 319, 606, 561, 825, 730.
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}.