LCM of 520, 688, 611, 918, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 688, 611, 918, 791 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 520, 688, 611, 918, 791. So, keep reading to learn more.
Given numbers are 520,688,611,918,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,688,611,918,791 is 763112946960.
Find LCM of 520,688,611,918,791 with Prime Factorization
| 2 | 520, 688, 611, 918, 791 |
| 2 | 260, 344, 611, 459, 791 |
| 2 | 130, 172, 611, 459, 791 |
| 13 | 65, 86, 611, 459, 791 |
| 5, 86, 47, 459, 791 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 5 x 86 x 47 x 459 x 791 = 763112946960
Therefore, the lowest common multiple of 520,688,611,918,791 is 763112946960.
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.
520 x 688 x 611 x 918 x 791 = 158727492967680
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
611 : 1, 13, 47, 611
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,688,611,918,791, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
688:2x 2x 2x 2x 43
611:13x 47
918:2x 3x 3x 3x 17
791:7x 113
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 13 = 208
Therefore, the value for common factors is 208.
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 = 158727492967680/(1x208)
LCM = 158727492967680/208
LCM = 763112946960
Thus, we can understand that the LCM of 520,688,611,918,791 is 763112946960.
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FAQs on LCM of 520, 688, 611, 918, 791
1. What is the LCM of 520, 688, 611, 918, 791?
Answer: LCM of 520, 688, 611, 918, 791 is 763112946960.
2. How to calculate the LCM of 520, 688, 611, 918, 791?
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 520, 688, 611, 918, 791.
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}.