LCM of 115, 199, 851, 940, 603
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 199, 851, 940, 603 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 115, 199, 851, 940, 603. So, keep reading to learn more.
Given numbers are 115,199,851,940,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,199,851,940,603 is 95990400180.
Find LCM of 115,199,851,940,603 with Prime Factorization
| 5 | 115, 199, 851, 940, 603 |
| 23 | 23, 199, 851, 188, 603 |
| 1, 199, 37, 188, 603 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 1 x 199 x 37 x 188 x 603 = 95990400180
Therefore, the lowest common multiple of 115,199,851,940,603 is 95990400180.
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.
115 x 199 x 851 x 940 x 603 = 11038896020700
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.
115 : 1, 5, 23, 115
199 : 1, 199
851 : 1, 23, 37, 851
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,199,851,940,603, is 1.
Now, the common factors can be found like this.
115:5x 23
199:199
851:23x 37
940:2x 2x 5x 47
603:3x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 11038896020700/(1x115)
LCM = 11038896020700/115
LCM = 95990400180
Thus, we can understand that the LCM of 115,199,851,940,603 is 95990400180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 115, 199, 851, 940, 603
1. What is the LCM of 115, 199, 851, 940, 603?
Answer: LCM of 115, 199, 851, 940, 603 is 95990400180.
2. How to calculate the LCM of 115, 199, 851, 940, 603?
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 115, 199, 851, 940, 603.
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}.