LCM of 961, 416, 917, 988, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 416, 917, 988, 786 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 961, 416, 917, 988, 786. So, keep reading to learn more.
Given numbers are 961,416,917,988,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,416,917,988,786 is 20895891744.
Find LCM of 961,416,917,988,786 with Prime Factorization
| 2 | 961, 416, 917, 988, 786 |
| 2 | 961, 208, 917, 494, 393 |
| 13 | 961, 104, 917, 247, 393 |
| 131 | 961, 8, 917, 19, 393 |
| 961, 8, 7, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 131 x 961 x 8 x 7 x 19 x 3 = 20895891744
Therefore, the lowest common multiple of 961,416,917,988,786 is 20895891744.
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.
961 x 416 x 917 x 988 x 786 = 284685629120256
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.
961 : 1, 31, 961
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
917 : 1, 7, 131, 917
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,416,917,988,786, is 1.
Now, the common factors can be found like this.
961:31x 31
416:2x 2x 2x 2x 2x 13
917:7x 131
988:2x 2x 13x 19
786:2x 3x 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 2x 13x 131 = 13624
Therefore, the value for common factors is 13624.
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 = 284685629120256/(1x13624)
LCM = 284685629120256/13624
LCM = 20895891744
Thus, we can understand that the LCM of 961,416,917,988,786 is 20895891744.
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FAQs on LCM of 961, 416, 917, 988, 786
1. What is the LCM of 961, 416, 917, 988, 786?
Answer: LCM of 961, 416, 917, 988, 786 is 20895891744.
2. How to calculate the LCM of 961, 416, 917, 988, 786?
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 961, 416, 917, 988, 786.
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}.