LCM of 398, 663, 219, 614, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 663, 219, 614, 480 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, 663, 219, 614, 480. So, keep reading to learn more.
Given numbers are 398,663,219,614,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,663,219,614,480 is 473094417120.
Find LCM of 398,663,219,614,480 with Prime Factorization
| 2 | 398, 663, 219, 614, 480 |
| 3 | 199, 663, 219, 307, 240 |
| 199, 221, 73, 307, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 221 x 73 x 307 x 80 = 473094417120
Therefore, the lowest common multiple of 398,663,219,614,480 is 473094417120.
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 663 x 219 x 614 x 480 = 17031399016320
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
663 : 1, 3, 13, 17, 39, 51, 221, 663
219 : 1, 3, 73, 219
614 : 1, 2, 307, 614
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,663,219,614,480, is 1.
Now, the common factors can be found like this.
398:2x 199
663:3x 13x 17
219:3x 73
614:2x 307
480:2x 2x 2x 2x 2x 3x 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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 17031399016320/(1x36)
LCM = 17031399016320/36
LCM = 473094417120
Thus, we can understand that the LCM of 398,663,219,614,480 is 473094417120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 663, 219, 614, 480
1. What is the LCM of 398, 663, 219, 614, 480?
Answer: LCM of 398, 663, 219, 614, 480 is 473094417120.
2. How to calculate the LCM of 398, 663, 219, 614, 480?
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, 663, 219, 614, 480.
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}.