LCM of 113, 634, 961, 951, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 634, 961, 951, 390 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 113, 634, 961, 951, 390. So, keep reading to learn more.
Given numbers are 113,634,961,951,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,634,961,951,390 is 13425352590.
Find LCM of 113,634,961,951,390 with Prime Factorization
| 2 | 113, 634, 961, 951, 390 |
| 3 | 113, 317, 961, 951, 195 |
| 317 | 113, 317, 961, 317, 65 |
| 113, 1, 961, 1, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 113 x 1 x 961 x 1 x 65 = 13425352590
Therefore, the lowest common multiple of 113,634,961,951,390 is 13425352590.
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.
113 x 634 x 961 x 951 x 390 = 25535020626180
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.
113 : 1, 113
634 : 1, 2, 317, 634
961 : 1, 31, 961
951 : 1, 3, 317, 951
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,634,961,951,390, is 1.
Now, the common factors can be found like this.
113:113
634:2x 317
961:31x 31
951:3x 317
390:2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 317 = 1902
Therefore, the value for common factors is 1902.
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 = 25535020626180/(1x1902)
LCM = 25535020626180/1902
LCM = 13425352590
Thus, we can understand that the LCM of 113,634,961,951,390 is 13425352590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 634, 961, 951, 390
1. What is the LCM of 113, 634, 961, 951, 390?
Answer: LCM of 113, 634, 961, 951, 390 is 13425352590.
2. How to calculate the LCM of 113, 634, 961, 951, 390?
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 113, 634, 961, 951, 390.
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}.