LCM of 931, 786, 917, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 786, 917, 446 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 931, 786, 917, 446. So, keep reading to learn more.
Given numbers are 931,786,917,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,786,917,446 is 163183818.
Find LCM of 931,786,917,446 with Prime Factorization
| 2 | 931, 786, 917, 446 |
| 7 | 931, 393, 917, 223 |
| 131 | 133, 393, 131, 223 |
| 133, 3, 1, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 131 x 133 x 3 x 1 x 223 = 163183818
Therefore, the lowest common multiple of 931,786,917,446 is 163183818.
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.
931 x 786 x 917 x 446 = 299279122212
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.
931 : 1, 7, 19, 49, 133, 931
786 : 1, 2, 3, 6, 131, 262, 393, 786
917 : 1, 7, 131, 917
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,786,917,446, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
786:2x 3x 131
917:7x 131
446:2x 223
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 131 = 1834
Therefore, the value for common factors is 1834.
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 = 299279122212/(1x1834)
LCM = 299279122212/1834
LCM = 163183818
Thus, we can understand that the LCM of 931,786,917,446 is 163183818.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 931, 786, 917, 446
1. What is the LCM of 931, 786, 917, 446?
Answer: LCM of 931, 786, 917, 446 is 163183818.
2. How to calculate the LCM of 931, 786, 917, 446?
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 931, 786, 917, 446.
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}.