LCM of 876, 365, 953, 960, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 365, 953, 960, 711 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 876, 365, 953, 960, 711. So, keep reading to learn more.
Given numbers are 876,365,953,960,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,365,953,960,711 is 15828338880.
Find LCM of 876,365,953,960,711 with Prime Factorization
| 2 | 876, 365, 953, 960, 711 |
| 2 | 438, 365, 953, 480, 711 |
| 3 | 219, 365, 953, 240, 711 |
| 5 | 73, 365, 953, 80, 237 |
| 73 | 73, 73, 953, 16, 237 |
| 1, 1, 953, 16, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 73 x 1 x 1 x 953 x 16 x 237 = 15828338880
Therefore, the lowest common multiple of 876,365,953,960,711 is 15828338880.
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.
876 x 365 x 953 x 960 x 711 = 207984372883200
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
365 : 1, 5, 73, 365
953 : 1, 953
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
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,365,953,960,711, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
365:5x 73
953:953
960:2x 2x 2x 2x 2x 2x 3x 5
711:3x 3x 79
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 3x 5x 73 = 13140
Therefore, the value for common factors is 13140.
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 = 207984372883200/(1x13140)
LCM = 207984372883200/13140
LCM = 15828338880
Thus, we can understand that the LCM of 876,365,953,960,711 is 15828338880.
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FAQs on LCM of 876, 365, 953, 960, 711
1. What is the LCM of 876, 365, 953, 960, 711?
Answer: LCM of 876, 365, 953, 960, 711 is 15828338880.
2. How to calculate the LCM of 876, 365, 953, 960, 711?
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 876, 365, 953, 960, 711.
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}.