LCM of 359, 414, 792, 418, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 414, 792, 418, 917 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 359, 414, 792, 418, 917. So, keep reading to learn more.
Given numbers are 359,414,792,418,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,414,792,418,917 is 113938475112.
Find LCM of 359,414,792,418,917 with Prime Factorization
| 2 | 359, 414, 792, 418, 917 |
| 3 | 359, 207, 396, 209, 917 |
| 3 | 359, 69, 132, 209, 917 |
| 11 | 359, 23, 44, 209, 917 |
| 359, 23, 4, 19, 917 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 359 x 23 x 4 x 19 x 917 = 113938475112
Therefore, the lowest common multiple of 359,414,792,418,917 is 113938475112.
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.
359 x 414 x 792 x 418 x 917 = 45119636144352
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.
359 : 1, 359
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
418 : 1, 2, 11, 19, 22, 38, 209, 418
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,414,792,418,917, is 1.
Now, the common factors can be found like this.
359:359
414:2x 3x 3x 23
792:2x 2x 2x 3x 3x 11
418:2x 11x 19
917:7x 131
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 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 45119636144352/(1x396)
LCM = 45119636144352/396
LCM = 113938475112
Thus, we can understand that the LCM of 359,414,792,418,917 is 113938475112.
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FAQs on LCM of 359, 414, 792, 418, 917
1. What is the LCM of 359, 414, 792, 418, 917?
Answer: LCM of 359, 414, 792, 418, 917 is 113938475112.
2. How to calculate the LCM of 359, 414, 792, 418, 917?
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 359, 414, 792, 418, 917.
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}.