LCM of 524, 786, 716, 910, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 786, 716, 910, 231 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 524, 786, 716, 910, 231. So, keep reading to learn more.
Given numbers are 524,786,716,910,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,786,716,910,231 is 1408346940.
Find LCM of 524,786,716,910,231 with Prime Factorization
| 2 | 524, 786, 716, 910, 231 |
| 2 | 262, 393, 358, 455, 231 |
| 3 | 131, 393, 179, 455, 231 |
| 7 | 131, 131, 179, 455, 77 |
| 131 | 131, 131, 179, 65, 11 |
| 1, 1, 179, 65, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 131 x 1 x 1 x 179 x 65 x 11 = 1408346940
Therefore, the lowest common multiple of 524,786,716,910,231 is 1408346940.
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.
524 x 786 x 716 x 910 x 231 = 61989798911040
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.
524 : 1, 2, 4, 131, 262, 524
786 : 1, 2, 3, 6, 131, 262, 393, 786
716 : 1, 2, 4, 179, 358, 716
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,786,716,910,231, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
786:2x 3x 131
716:2x 2x 179
910:2x 5x 7x 13
231:3x 7x 11
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 3x 7x 131 = 44016
Therefore, the value for common factors is 44016.
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 = 61989798911040/(1x44016)
LCM = 61989798911040/44016
LCM = 1408346940
Thus, we can understand that the LCM of 524,786,716,910,231 is 1408346940.
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FAQs on LCM of 524, 786, 716, 910, 231
1. What is the LCM of 524, 786, 716, 910, 231?
Answer: LCM of 524, 786, 716, 910, 231 is 1408346940.
2. How to calculate the LCM of 524, 786, 716, 910, 231?
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 524, 786, 716, 910, 231.
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}.