LCM of 913, 767, 945, 187, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 767, 945, 187, 319 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 913, 767, 945, 187, 319. So, keep reading to learn more.
Given numbers are 913,767,945,187,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,767,945,187,319 is 326245754835.
Find LCM of 913,767,945,187,319 with Prime Factorization
| 11 | 913, 767, 945, 187, 319 |
| 83, 767, 945, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
11 x 83 x 767 x 945 x 17 x 29 = 326245754835
Therefore, the lowest common multiple of 913,767,945,187,319 is 326245754835.
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.
913 x 767 x 945 x 187 x 319 = 39475736335035
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.
913 : 1, 11, 83, 913
767 : 1, 13, 59, 767
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
187 : 1, 11, 17, 187
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,767,945,187,319, is 1.
Now, the common factors can be found like this.
913:11x 83
767:13x 59
945:3x 3x 3x 5x 7
187:11x 17
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 39475736335035/(1x121)
LCM = 39475736335035/121
LCM = 326245754835
Thus, we can understand that the LCM of 913,767,945,187,319 is 326245754835.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 767, 945, 187, 319
1. What is the LCM of 913, 767, 945, 187, 319?
Answer: LCM of 913, 767, 945, 187, 319 is 326245754835.
2. How to calculate the LCM of 913, 767, 945, 187, 319?
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 913, 767, 945, 187, 319.
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}.