LCM of 501, 592, 942, 408, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 592, 942, 408, 210 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 501, 592, 942, 408, 210. So, keep reading to learn more.
Given numbers are 501,592,942,408,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,592,942,408,210 is 27706141680.
Find LCM of 501,592,942,408,210 with Prime Factorization
| 2 | 501, 592, 942, 408, 210 |
| 2 | 501, 296, 471, 204, 105 |
| 2 | 501, 148, 471, 102, 105 |
| 3 | 501, 74, 471, 51, 105 |
| 167, 74, 157, 17, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 167 x 74 x 157 x 17 x 35 = 27706141680
Therefore, the lowest common multiple of 501,592,942,408,210 is 27706141680.
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.
501 x 592 x 942 x 408 x 210 = 23938106411520
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.
501 : 1, 3, 167, 501
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
942 : 1, 2, 3, 6, 157, 314, 471, 942
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,592,942,408,210, is 1.
Now, the common factors can be found like this.
501:3x 167
592:2x 2x 2x 2x 37
942:2x 3x 157
408:2x 2x 2x 3x 17
210:2x 3x 5x 7
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 23938106411520/(1x864)
LCM = 23938106411520/864
LCM = 27706141680
Thus, we can understand that the LCM of 501,592,942,408,210 is 27706141680.
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FAQs on LCM of 501, 592, 942, 408, 210
1. What is the LCM of 501, 592, 942, 408, 210?
Answer: LCM of 501, 592, 942, 408, 210 is 27706141680.
2. How to calculate the LCM of 501, 592, 942, 408, 210?
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 501, 592, 942, 408, 210.
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}.