LCM of 818, 960, 967, 180, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 960, 967, 180, 707 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 818, 960, 967, 180, 707. So, keep reading to learn more.
Given numbers are 818,960,967,180,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,960,967,180,707 is 805307388480.
Find LCM of 818,960,967,180,707 with Prime Factorization
| 2 | 818, 960, 967, 180, 707 |
| 2 | 409, 480, 967, 90, 707 |
| 3 | 409, 240, 967, 45, 707 |
| 5 | 409, 80, 967, 15, 707 |
| 409, 16, 967, 3, 707 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 409 x 16 x 967 x 3 x 707 = 805307388480
Therefore, the lowest common multiple of 818,960,967,180,707 is 805307388480.
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.
818 x 960 x 967 x 180 x 707 = 96636886617600
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.
818 : 1, 2, 409, 818
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
967 : 1, 967
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,960,967,180,707, is 1.
Now, the common factors can be found like this.
818:2x 409
960:2x 2x 2x 2x 2x 2x 3x 5
967:967
180:2x 2x 3x 3x 5
707:7x 101
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 5 = 120
Therefore, the value for common factors is 120.
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 = 96636886617600/(1x120)
LCM = 96636886617600/120
LCM = 805307388480
Thus, we can understand that the LCM of 818,960,967,180,707 is 805307388480.
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FAQs on LCM of 818, 960, 967, 180, 707
1. What is the LCM of 818, 960, 967, 180, 707?
Answer: LCM of 818, 960, 967, 180, 707 is 805307388480.
2. How to calculate the LCM of 818, 960, 967, 180, 707?
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 818, 960, 967, 180, 707.
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}.