LCM of 776, 516, 892, 400, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 516, 892, 400, 288 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 776, 516, 892, 400, 288. So, keep reading to learn more.
Given numbers are 776,516,892,400,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,516,892,400,288 is 6696957600.
Find LCM of 776,516,892,400,288 with Prime Factorization
| 2 | 776, 516, 892, 400, 288 |
| 2 | 388, 258, 446, 200, 144 |
| 2 | 194, 129, 223, 100, 72 |
| 2 | 97, 129, 223, 50, 36 |
| 3 | 97, 129, 223, 25, 18 |
| 97, 43, 223, 25, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 97 x 43 x 223 x 25 x 6 = 6696957600
Therefore, the lowest common multiple of 776,516,892,400,288 is 6696957600.
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.
776 x 516 x 892 x 400 x 288 = 41146107494400
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
892 : 1, 2, 4, 223, 446, 892
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,516,892,400,288, is 4.
Now, the common factors can be found like this.
776:2x 2x 2x 97
516:2x 2x 3x 43
892:2x 2x 223
400:2x 2x 2x 2x 5x 5
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 41146107494400/(4x1536)
LCM = 41146107494400/6144
LCM = 6696957600
Thus, we can understand that the LCM of 776,516,892,400,288 is 6696957600.
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FAQs on LCM of 776, 516, 892, 400, 288
1. What is the LCM of 776, 516, 892, 400, 288?
Answer: LCM of 776, 516, 892, 400, 288 is 6696957600.
2. How to calculate the LCM of 776, 516, 892, 400, 288?
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 776, 516, 892, 400, 288.
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}.