LCM of 785, 130, 715, 566, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 130, 715, 566, 583 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 785, 130, 715, 566, 583. So, keep reading to learn more.
Given numbers are 785,130,715,566,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,130,715,566,583 is 3367425490.
Find LCM of 785,130,715,566,583 with Prime Factorization
| 2 | 785, 130, 715, 566, 583 |
| 5 | 785, 65, 715, 283, 583 |
| 11 | 157, 13, 143, 283, 583 |
| 13 | 157, 13, 13, 283, 53 |
| 157, 1, 1, 283, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 157 x 1 x 1 x 283 x 53 = 3367425490
Therefore, the lowest common multiple of 785,130,715,566,583 is 3367425490.
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.
785 x 130 x 715 x 566 x 583 = 24077092253500
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.
785 : 1, 5, 157, 785
130 : 1, 2, 5, 10, 13, 26, 65, 130
715 : 1, 5, 11, 13, 55, 65, 143, 715
566 : 1, 2, 283, 566
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,130,715,566,583, is 1.
Now, the common factors can be found like this.
785:5x 157
130:2x 5x 13
715:5x 11x 13
566:2x 283
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 13 = 7150
Therefore, the value for common factors is 7150.
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 = 24077092253500/(1x7150)
LCM = 24077092253500/7150
LCM = 3367425490
Thus, we can understand that the LCM of 785,130,715,566,583 is 3367425490.
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FAQs on LCM of 785, 130, 715, 566, 583
1. What is the LCM of 785, 130, 715, 566, 583?
Answer: LCM of 785, 130, 715, 566, 583 is 3367425490.
2. How to calculate the LCM of 785, 130, 715, 566, 583?
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 785, 130, 715, 566, 583.
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}.