LCM of 471, 586, 390, 642, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 586, 390, 642, 917 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 471, 586, 390, 642, 917. So, keep reading to learn more.
Given numbers are 471,586,390,642,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,586,390,642,917 is 1760293126410.
Find LCM of 471,586,390,642,917 with Prime Factorization
| 2 | 471, 586, 390, 642, 917 |
| 3 | 471, 293, 195, 321, 917 |
| 157, 293, 65, 107, 917 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 293 x 65 x 107 x 917 = 1760293126410
Therefore, the lowest common multiple of 471,586,390,642,917 is 1760293126410.
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.
471 x 586 x 390 x 642 x 917 = 63370552550760
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.
471 : 1, 3, 157, 471
586 : 1, 2, 293, 586
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
642 : 1, 2, 3, 6, 107, 214, 321, 642
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,586,390,642,917, is 1.
Now, the common factors can be found like this.
471:3x 157
586:2x 293
390:2x 3x 5x 13
642:2x 3x 107
917:7x 131
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 63370552550760/(1x36)
LCM = 63370552550760/36
LCM = 1760293126410
Thus, we can understand that the LCM of 471,586,390,642,917 is 1760293126410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 586, 390, 642, 917
1. What is the LCM of 471, 586, 390, 642, 917?
Answer: LCM of 471, 586, 390, 642, 917 is 1760293126410.
2. How to calculate the LCM of 471, 586, 390, 642, 917?
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 471, 586, 390, 642, 917.
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}.