LCM of 210, 952, 418, 725, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 952, 418, 725, 289 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, 952, 418, 725, 289. So, keep reading to learn more.
Given numbers are 210,952,418,725,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,952,418,725,289 is 7356841800.
Find LCM of 210,952,418,725,289 with Prime Factorization
| 2 | 210, 952, 418, 725, 289 |
| 5 | 105, 476, 209, 725, 289 |
| 7 | 21, 476, 209, 145, 289 |
| 17 | 3, 68, 209, 145, 289 |
| 3, 4, 209, 145, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 3 x 4 x 209 x 145 x 17 = 7356841800
Therefore, the lowest common multiple of 210,952,418,725,289 is 7356841800.
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 952 x 418 x 725 x 289 = 17509283484000
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
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
418 : 1, 2, 11, 19, 22, 38, 209, 418
725 : 1, 5, 25, 29, 145, 725
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,952,418,725,289, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
952:2x 2x 2x 7x 17
418:2x 11x 19
725:5x 5x 29
289:17x 17
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 5x 7x 17 = 2380
Therefore, the value for common factors is 2380.
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 = 17509283484000/(1x2380)
LCM = 17509283484000/2380
LCM = 7356841800
Thus, we can understand that the LCM of 210,952,418,725,289 is 7356841800.
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FAQs on LCM of 210, 952, 418, 725, 289
1. What is the LCM of 210, 952, 418, 725, 289?
Answer: LCM of 210, 952, 418, 725, 289 is 7356841800.
2. How to calculate the LCM of 210, 952, 418, 725, 289?
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, 952, 418, 725, 289.
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}.