LCM of 211, 715, 845, 870, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 211, 715, 845, 870, 435 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 211, 715, 845, 870, 435. So, keep reading to learn more.
Given numbers are 211,715,845,870,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,715,845,870,435 is 341256630.
Find LCM of 211,715,845,870,435 with Prime Factorization
| 3 | 211, 715, 845, 870, 435 |
| 5 | 211, 715, 845, 290, 145 |
| 13 | 211, 143, 169, 58, 29 |
| 29 | 211, 11, 13, 58, 29 |
| 211, 11, 13, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 29 x 211 x 11 x 13 x 2 x 1 = 341256630
Therefore, the lowest common multiple of 211,715,845,870,435 is 341256630.
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.
211 x 715 x 845 x 870 x 435 = 48245156066250
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.
211 : 1, 211
715 : 1, 5, 11, 13, 55, 65, 143, 715
845 : 1, 5, 13, 65, 169, 845
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,715,845,870,435, is 1.
Now, the common factors can be found like this.
211:211
715:5x 11x 13
845:5x 13x 13
870:2x 3x 5x 29
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 13x 29 = 141375
Therefore, the value for common factors is 141375.
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 = 48245156066250/(1x141375)
LCM = 48245156066250/141375
LCM = 341256630
Thus, we can understand that the LCM of 211,715,845,870,435 is 341256630.
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FAQs on LCM of 211, 715, 845, 870, 435
1. What is the LCM of 211, 715, 845, 870, 435?
Answer: LCM of 211, 715, 845, 870, 435 is 341256630.
2. How to calculate the LCM of 211, 715, 845, 870, 435?
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 211, 715, 845, 870, 435.
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}.