LCM of 210, 320, 586, 968, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 320, 586, 968, 302 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 210, 320, 586, 968, 302. So, keep reading to learn more.
Given numbers are 210,320,586,968,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,320,586,968,302 is 35974868160.
Find LCM of 210,320,586,968,302 with Prime Factorization
| 2 | 210, 320, 586, 968, 302 |
| 2 | 105, 160, 293, 484, 151 |
| 2 | 105, 80, 293, 242, 151 |
| 5 | 105, 40, 293, 121, 151 |
| 21, 8, 293, 121, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 21 x 8 x 293 x 121 x 151 = 35974868160
Therefore, the lowest common multiple of 210,320,586,968,302 is 35974868160.
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.
210 x 320 x 586 x 968 x 302 = 11511957811200
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
586 : 1, 2, 293, 586
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,320,586,968,302, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
320:2x 2x 2x 2x 2x 2x 5
586:2x 293
968:2x 2x 2x 11x 11
302:2x 151
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 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 11511957811200/(2x160)
LCM = 11511957811200/320
LCM = 35974868160
Thus, we can understand that the LCM of 210,320,586,968,302 is 35974868160.
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FAQs on LCM of 210, 320, 586, 968, 302
1. What is the LCM of 210, 320, 586, 968, 302?
Answer: LCM of 210, 320, 586, 968, 302 is 35974868160.
2. How to calculate the LCM of 210, 320, 586, 968, 302?
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 210, 320, 586, 968, 302.
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}.