LCM of 511, 528, 910, 707, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 528, 910, 707, 781 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 511, 528, 910, 707, 781. So, keep reading to learn more.
Given numbers are 511,528,910,707,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,528,910,707,781 is 125761555920.
Find LCM of 511,528,910,707,781 with Prime Factorization
| 2 | 511, 528, 910, 707, 781 |
| 7 | 511, 264, 455, 707, 781 |
| 11 | 73, 264, 65, 101, 781 |
| 73, 24, 65, 101, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 73 x 24 x 65 x 101 x 71 = 125761555920
Therefore, the lowest common multiple of 511,528,910,707,781 is 125761555920.
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.
511 x 528 x 910 x 707 x 781 = 135570957281760
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.
511 : 1, 7, 73, 511
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
707 : 1, 7, 101, 707
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,528,910,707,781, is 1.
Now, the common factors can be found like this.
511:7x 73
528:2x 2x 2x 2x 3x 11
910:2x 5x 7x 13
707:7x 101
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 135570957281760/(1x1078)
LCM = 135570957281760/1078
LCM = 125761555920
Thus, we can understand that the LCM of 511,528,910,707,781 is 125761555920.
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FAQs on LCM of 511, 528, 910, 707, 781
1. What is the LCM of 511, 528, 910, 707, 781?
Answer: LCM of 511, 528, 910, 707, 781 is 125761555920.
2. How to calculate the LCM of 511, 528, 910, 707, 781?
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 511, 528, 910, 707, 781.
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}.