LCM of 421, 704, 824, 590, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 704, 824, 590, 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 421, 704, 824, 590, 210. So, keep reading to learn more.
Given numbers are 421,704,824,590,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,704,824,590,210 is 189118184640.
Find LCM of 421,704,824,590,210 with Prime Factorization
| 2 | 421, 704, 824, 590, 210 |
| 2 | 421, 352, 412, 295, 105 |
| 2 | 421, 176, 206, 295, 105 |
| 5 | 421, 88, 103, 295, 105 |
| 421, 88, 103, 59, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 421 x 88 x 103 x 59 x 21 = 189118184640
Therefore, the lowest common multiple of 421,704,824,590,210 is 189118184640.
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.
421 x 704 x 824 x 590 x 210 = 30258909542400
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.
421 : 1, 421
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
824 : 1, 2, 4, 8, 103, 206, 412, 824
590 : 1, 2, 5, 10, 59, 118, 295, 590
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 421,704,824,590,210, is 1.
Now, the common factors can be found like this.
421:421
704:2x 2x 2x 2x 2x 2x 11
824:2x 2x 2x 103
590:2x 5x 59
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 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 = 30258909542400/(1x160)
LCM = 30258909542400/160
LCM = 189118184640
Thus, we can understand that the LCM of 421,704,824,590,210 is 189118184640.
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FAQs on LCM of 421, 704, 824, 590, 210
1. What is the LCM of 421, 704, 824, 590, 210?
Answer: LCM of 421, 704, 824, 590, 210 is 189118184640.
2. How to calculate the LCM of 421, 704, 824, 590, 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 421, 704, 824, 590, 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}.