LCM of 435, 478, 845, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 478, 845, 715 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 435, 478, 845, 715. So, keep reading to learn more.
Given numbers are 435,478,845,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,478,845,715 is 386541870.
Find LCM of 435,478,845,715 with Prime Factorization
| 5 | 435, 478, 845, 715 |
| 13 | 87, 478, 169, 143 |
| 87, 478, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 87 x 478 x 13 x 11 = 386541870
Therefore, the lowest common multiple of 435,478,845,715 is 386541870.
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.
435 x 478 x 845 x 715 = 125626107750
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
478 : 1, 2, 239, 478
845 : 1, 5, 13, 65, 169, 845
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,478,845,715, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
478:2x 239
845:5x 13x 13
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13 = 325
Therefore, the value for common factors is 325.
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 = 125626107750/(1x325)
LCM = 125626107750/325
LCM = 386541870
Thus, we can understand that the LCM of 435,478,845,715 is 386541870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 435, 478, 845, 715
1. What is the LCM of 435, 478, 845, 715?
Answer: LCM of 435, 478, 845, 715 is 386541870.
2. How to calculate the LCM of 435, 478, 845, 715?
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 435, 478, 845, 715.
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}.