LCM of 714, 718, 665, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 718, 665, 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 714, 718, 665, 480. So, keep reading to learn more.
Given numbers are 714,718,665,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,718,665,480 is 389615520.
Find LCM of 714,718,665,480 with Prime Factorization
| 2 | 714, 718, 665, 480 |
| 3 | 357, 359, 665, 240 |
| 5 | 119, 359, 665, 80 |
| 7 | 119, 359, 133, 16 |
| 17, 359, 19, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 359 x 19 x 16 = 389615520
Therefore, the lowest common multiple of 714,718,665,480 is 389615520.
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.
714 x 718 x 665 x 480 = 163638518400
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
718 : 1, 2, 359, 718
665 : 1, 5, 7, 19, 35, 95, 133, 665
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 714,718,665,480, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
718:2x 359
665:5x 7x 19
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 163638518400/(1x420)
LCM = 163638518400/420
LCM = 389615520
Thus, we can understand that the LCM of 714,718,665,480 is 389615520.
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FAQs on LCM of 714, 718, 665, 480
1. What is the LCM of 714, 718, 665, 480?
Answer: LCM of 714, 718, 665, 480 is 389615520.
2. How to calculate the LCM of 714, 718, 665, 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 714, 718, 665, 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}.