LCM of 923, 741, 792, 715, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 741, 792, 715, 995 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 923, 741, 792, 715, 995. So, keep reading to learn more.
Given numbers are 923,741,792,715,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,741,792,715,995 is 13819857480.
Find LCM of 923,741,792,715,995 with Prime Factorization
| 3 | 923, 741, 792, 715, 995 |
| 5 | 923, 247, 264, 715, 995 |
| 11 | 923, 247, 264, 143, 199 |
| 13 | 923, 247, 24, 13, 199 |
| 71, 19, 24, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 71 x 19 x 24 x 1 x 199 = 13819857480
Therefore, the lowest common multiple of 923,741,792,715,995 is 13819857480.
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.
923 x 741 x 792 x 715 x 995 = 385366725829800
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.
923 : 1, 13, 71, 923
741 : 1, 3, 13, 19, 39, 57, 247, 741
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
715 : 1, 5, 11, 13, 55, 65, 143, 715
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,741,792,715,995, is 1.
Now, the common factors can be found like this.
923:13x 71
741:3x 13x 19
792:2x 2x 2x 3x 3x 11
715:5x 11x 13
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 13x 13 = 27885
Therefore, the value for common factors is 27885.
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 = 385366725829800/(1x27885)
LCM = 385366725829800/27885
LCM = 13819857480
Thus, we can understand that the LCM of 923,741,792,715,995 is 13819857480.
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FAQs on LCM of 923, 741, 792, 715, 995
1. What is the LCM of 923, 741, 792, 715, 995?
Answer: LCM of 923, 741, 792, 715, 995 is 13819857480.
2. How to calculate the LCM of 923, 741, 792, 715, 995?
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 923, 741, 792, 715, 995.
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}.