LCM of 398, 460, 935, 135, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 460, 935, 135, 456 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 398, 460, 935, 135, 456. So, keep reading to learn more.
Given numbers are 398,460,935,135,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,460,935,135,456 is 17563047480.
Find LCM of 398,460,935,135,456 with Prime Factorization
| 2 | 398, 460, 935, 135, 456 |
| 2 | 199, 230, 935, 135, 228 |
| 3 | 199, 115, 935, 135, 114 |
| 5 | 199, 115, 935, 45, 38 |
| 199, 23, 187, 9, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 199 x 23 x 187 x 9 x 38 = 17563047480
Therefore, the lowest common multiple of 398,460,935,135,456 is 17563047480.
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.
398 x 460 x 935 x 135 x 456 = 10537828488000
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.
398 : 1, 2, 199, 398
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
935 : 1, 5, 11, 17, 55, 85, 187, 935
135 : 1, 3, 5, 9, 15, 27, 45, 135
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,460,935,135,456, is 1.
Now, the common factors can be found like this.
398:2x 199
460:2x 2x 5x 23
935:5x 11x 17
135:3x 3x 3x 5
456:2x 2x 2x 3x 19
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 10537828488000/(1x600)
LCM = 10537828488000/600
LCM = 17563047480
Thus, we can understand that the LCM of 398,460,935,135,456 is 17563047480.
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FAQs on LCM of 398, 460, 935, 135, 456
1. What is the LCM of 398, 460, 935, 135, 456?
Answer: LCM of 398, 460, 935, 135, 456 is 17563047480.
2. How to calculate the LCM of 398, 460, 935, 135, 456?
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 398, 460, 935, 135, 456.
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}.