LCM of 962, 910, 605, 418, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 910, 605, 418, 777 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 962, 910, 605, 418, 777. So, keep reading to learn more.
Given numbers are 962,910,605,418,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,910,605,418,777 is 232221990.
Find LCM of 962,910,605,418,777 with Prime Factorization
| 2 | 962, 910, 605, 418, 777 |
| 5 | 481, 455, 605, 209, 777 |
| 7 | 481, 91, 121, 209, 777 |
| 11 | 481, 13, 121, 209, 111 |
| 13 | 481, 13, 11, 19, 111 |
| 37 | 37, 1, 11, 19, 111 |
| 1, 1, 11, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 13 x 37 x 1 x 1 x 11 x 19 x 3 = 232221990
Therefore, the lowest common multiple of 962,910,605,418,777 is 232221990.
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.
962 x 910 x 605 x 418 x 777 = 172016116872600
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
605 : 1, 5, 11, 55, 121, 605
418 : 1, 2, 11, 19, 22, 38, 209, 418
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,910,605,418,777, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
910:2x 5x 7x 13
605:5x 11x 11
418:2x 11x 19
777:3x 7x 37
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 5x 7x 11x 13x 37 = 740740
Therefore, the value for common factors is 740740.
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 = 172016116872600/(1x740740)
LCM = 172016116872600/740740
LCM = 232221990
Thus, we can understand that the LCM of 962,910,605,418,777 is 232221990.
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FAQs on LCM of 962, 910, 605, 418, 777
1. What is the LCM of 962, 910, 605, 418, 777?
Answer: LCM of 962, 910, 605, 418, 777 is 232221990.
2. How to calculate the LCM of 962, 910, 605, 418, 777?
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 962, 910, 605, 418, 777.
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}.