LCM of 119, 397, 782, 805, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 397, 782, 805, 115 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 119, 397, 782, 805, 115. So, keep reading to learn more.
Given numbers are 119,397,782,805,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,397,782,805,115 is 10865890.
Find LCM of 119,397,782,805,115 with Prime Factorization
| 5 | 119, 397, 782, 805, 115 |
| 7 | 119, 397, 782, 161, 23 |
| 17 | 17, 397, 782, 23, 23 |
| 23 | 1, 397, 46, 23, 23 |
| 1, 397, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 23 x 1 x 397 x 2 x 1 x 1 = 10865890
Therefore, the lowest common multiple of 119,397,782,805,115 is 10865890.
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.
119 x 397 x 782 x 805 x 115 = 3420093206950
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.
119 : 1, 7, 17, 119
397 : 1, 397
782 : 1, 2, 17, 23, 34, 46, 391, 782
805 : 1, 5, 7, 23, 35, 115, 161, 805
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,397,782,805,115, is 1.
Now, the common factors can be found like this.
119:7x 17
397:397
782:2x 17x 23
805:5x 7x 23
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 17x 23x 23 = 314755
Therefore, the value for common factors is 314755.
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 = 3420093206950/(1x314755)
LCM = 3420093206950/314755
LCM = 10865890
Thus, we can understand that the LCM of 119,397,782,805,115 is 10865890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 119, 397, 782, 805, 115
1. What is the LCM of 119, 397, 782, 805, 115?
Answer: LCM of 119, 397, 782, 805, 115 is 10865890.
2. How to calculate the LCM of 119, 397, 782, 805, 115?
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 119, 397, 782, 805, 115.
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}.