LCM of 714, 899, 961, 154, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 899, 961, 154, 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 714, 899, 961, 154, 917. So, keep reading to learn more.
Given numbers are 714,899,961,154,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,899,961,154,917 is 28673689506.
Find LCM of 714,899,961,154,917 with Prime Factorization
| 2 | 714, 899, 961, 154, 917 |
| 7 | 357, 899, 961, 77, 917 |
| 31 | 51, 899, 961, 11, 131 |
| 51, 29, 31, 11, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 51 x 29 x 31 x 11 x 131 = 28673689506
Therefore, the lowest common multiple of 714,899,961,154,917 is 28673689506.
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.
714 x 899 x 961 x 154 x 917 = 87110668719228
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
899 : 1, 29, 31, 899
961 : 1, 31, 961
154 : 1, 2, 7, 11, 14, 22, 77, 154
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,899,961,154,917, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
899:29x 31
961:31x 31
154:2x 7x 11
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 7x 7x 31 = 3038
Therefore, the value for common factors is 3038.
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 = 87110668719228/(1x3038)
LCM = 87110668719228/3038
LCM = 28673689506
Thus, we can understand that the LCM of 714,899,961,154,917 is 28673689506.
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FAQs on LCM of 714, 899, 961, 154, 917
1. What is the LCM of 714, 899, 961, 154, 917?
Answer: LCM of 714, 899, 961, 154, 917 is 28673689506.
2. How to calculate the LCM of 714, 899, 961, 154, 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 714, 899, 961, 154, 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}.