LCM of 703, 592, 728, 403, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 592, 728, 403, 570 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 703, 592, 728, 403, 570. So, keep reading to learn more.
Given numbers are 703,592,728,403,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,592,728,403,570 is 475959120.
Find LCM of 703,592,728,403,570 with Prime Factorization
| 2 | 703, 592, 728, 403, 570 |
| 2 | 703, 296, 364, 403, 285 |
| 2 | 703, 148, 182, 403, 285 |
| 13 | 703, 74, 91, 403, 285 |
| 19 | 703, 74, 7, 31, 285 |
| 37 | 37, 74, 7, 31, 15 |
| 1, 2, 7, 31, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 37 x 1 x 2 x 7 x 31 x 15 = 475959120
Therefore, the lowest common multiple of 703,592,728,403,570 is 475959120.
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.
703 x 592 x 728 x 403 x 570 = 69596646362880
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.
703 : 1, 19, 37, 703
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
403 : 1, 13, 31, 403
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,592,728,403,570, is 1.
Now, the common factors can be found like this.
703:19x 37
592:2x 2x 2x 2x 37
728:2x 2x 2x 7x 13
403:13x 31
570:2x 3x 5x 19
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 2x 2x 13x 19x 37 = 146224
Therefore, the value for common factors is 146224.
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 = 69596646362880/(1x146224)
LCM = 69596646362880/146224
LCM = 475959120
Thus, we can understand that the LCM of 703,592,728,403,570 is 475959120.
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FAQs on LCM of 703, 592, 728, 403, 570
1. What is the LCM of 703, 592, 728, 403, 570?
Answer: LCM of 703, 592, 728, 403, 570 is 475959120.
2. How to calculate the LCM of 703, 592, 728, 403, 570?
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 703, 592, 728, 403, 570.
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}.