LCM of 460, 419, 715, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 419, 715, 160 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 460, 419, 715, 160. So, keep reading to learn more.
Given numbers are 460,419,715,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,419,715,160 is 220494560.
Find LCM of 460,419,715,160 with Prime Factorization
| 2 | 460, 419, 715, 160 |
| 2 | 230, 419, 715, 80 |
| 5 | 115, 419, 715, 40 |
| 23, 419, 143, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 419 x 143 x 8 = 220494560
Therefore, the lowest common multiple of 460,419,715,160 is 220494560.
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.
460 x 419 x 715 x 160 = 22049456000
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
419 : 1, 419
715 : 1, 5, 11, 13, 55, 65, 143, 715
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,419,715,160, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
419:419
715:5x 11x 13
160:2x 2x 2x 2x 2x 5
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 5 = 100
Therefore, the value for common factors is 100.
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 = 22049456000/(1x100)
LCM = 22049456000/100
LCM = 220494560
Thus, we can understand that the LCM of 460,419,715,160 is 220494560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 460, 419, 715, 160
1. What is the LCM of 460, 419, 715, 160?
Answer: LCM of 460, 419, 715, 160 is 220494560.
2. How to calculate the LCM of 460, 419, 715, 160?
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 460, 419, 715, 160.
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}.