LCM of 570, 466, 705, 715, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 466, 705, 715, 613 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 570, 466, 705, 715, 613. So, keep reading to learn more.
Given numbers are 570,466,705,715,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,466,705,715,613 is 547173614130.
Find LCM of 570,466,705,715,613 with Prime Factorization
| 2 | 570, 466, 705, 715, 613 |
| 3 | 285, 233, 705, 715, 613 |
| 5 | 95, 233, 235, 715, 613 |
| 19, 233, 47, 143, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 233 x 47 x 143 x 613 = 547173614130
Therefore, the lowest common multiple of 570,466,705,715,613 is 547173614130.
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.
570 x 466 x 705 x 715 x 613 = 82076042119500
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
466 : 1, 2, 233, 466
705 : 1, 3, 5, 15, 47, 141, 235, 705
715 : 1, 5, 11, 13, 55, 65, 143, 715
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,466,705,715,613, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
466:2x 233
705:3x 5x 47
715:5x 11x 13
613:613
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 82076042119500/(1x150)
LCM = 82076042119500/150
LCM = 547173614130
Thus, we can understand that the LCM of 570,466,705,715,613 is 547173614130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 570, 466, 705, 715, 613
1. What is the LCM of 570, 466, 705, 715, 613?
Answer: LCM of 570, 466, 705, 715, 613 is 547173614130.
2. How to calculate the LCM of 570, 466, 705, 715, 613?
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 570, 466, 705, 715, 613.
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}.