LCM of 762, 910, 377, 707, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 910, 377, 707, 462 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 762, 910, 377, 707, 462. So, keep reading to learn more.
Given numbers are 762,910,377,707,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,910,377,707,462 is 11170649490.
Find LCM of 762,910,377,707,462 with Prime Factorization
| 2 | 762, 910, 377, 707, 462 |
| 3 | 381, 455, 377, 707, 231 |
| 7 | 127, 455, 377, 707, 77 |
| 13 | 127, 65, 377, 101, 11 |
| 127, 5, 29, 101, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 127 x 5 x 29 x 101 x 11 = 11170649490
Therefore, the lowest common multiple of 762,910,377,707,462 is 11170649490.
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.
762 x 910 x 377 x 707 x 462 = 85388444701560
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
377 : 1, 13, 29, 377
707 : 1, 7, 101, 707
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,910,377,707,462, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
910:2x 5x 7x 13
377:13x 29
707:7x 101
462:2x 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 3x 7x 7x 13 = 7644
Therefore, the value for common factors is 7644.
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 = 85388444701560/(1x7644)
LCM = 85388444701560/7644
LCM = 11170649490
Thus, we can understand that the LCM of 762,910,377,707,462 is 11170649490.
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FAQs on LCM of 762, 910, 377, 707, 462
1. What is the LCM of 762, 910, 377, 707, 462?
Answer: LCM of 762, 910, 377, 707, 462 is 11170649490.
2. How to calculate the LCM of 762, 910, 377, 707, 462?
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 762, 910, 377, 707, 462.
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}.