LCM of 427, 442, 715, 377, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 442, 715, 377, 792 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 427, 442, 715, 377, 792. So, keep reading to learn more.
Given numbers are 427,442,715,377,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,442,715,377,792 is 10837106280.
Find LCM of 427,442,715,377,792 with Prime Factorization
| 2 | 427, 442, 715, 377, 792 |
| 11 | 427, 221, 715, 377, 396 |
| 13 | 427, 221, 65, 377, 36 |
| 427, 17, 5, 29, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 427 x 17 x 5 x 29 x 36 = 10837106280
Therefore, the lowest common multiple of 427,442,715,377,792 is 10837106280.
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.
427 x 442 x 715 x 377 x 792 = 40292361149040
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.
427 : 1, 7, 61, 427
442 : 1, 2, 13, 17, 26, 34, 221, 442
715 : 1, 5, 11, 13, 55, 65, 143, 715
377 : 1, 13, 29, 377
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,442,715,377,792, is 1.
Now, the common factors can be found like this.
427:7x 61
442:2x 13x 17
715:5x 11x 13
377:13x 29
792:2x 2x 2x 3x 3x 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 11x 13x 13 = 3718
Therefore, the value for common factors is 3718.
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 = 40292361149040/(1x3718)
LCM = 40292361149040/3718
LCM = 10837106280
Thus, we can understand that the LCM of 427,442,715,377,792 is 10837106280.
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FAQs on LCM of 427, 442, 715, 377, 792
1. What is the LCM of 427, 442, 715, 377, 792?
Answer: LCM of 427, 442, 715, 377, 792 is 10837106280.
2. How to calculate the LCM of 427, 442, 715, 377, 792?
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 427, 442, 715, 377, 792.
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}.