Find the LCM of 365, 205, 917, 278, 134 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 365, 205, 917, 278, 134. So, keep reading to learn more.
Given numbers are 365,205,917,278,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,205,917,278,134 is 255602828530.
Find LCM of 365,205,917,278,134 with Prime Factorization
2 | 365, 205, 917, 278, 134 |
5 | 365, 205, 917, 139, 67 |
73, 41, 917, 139, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 41 x 917 x 139 x 67 = 255602828530
Therefore, the lowest common multiple of 365,205,917,278,134 is 255602828530.
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.
365 x 205 x 917 x 278 x 134 = 2556028285300
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.
365 : 1, 5, 73, 365
205 : 1, 5, 41, 205
917 : 1, 7, 131, 917
278 : 1, 2, 139, 278
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,205,917,278,134, is 1.
Now, the common factors can be found like this.
365:5x 73
205:5x 41
917:7x 131
278:2x 139
134:2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 2556028285300/(1x10)
LCM = 2556028285300/10
LCM = 255602828530
Thus, we can understand that the LCM of 365,205,917,278,134 is 255602828530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 365, 205, 917, 278, 134?
Answer: LCM of 365, 205, 917, 278, 134 is 255602828530.
2. How to calculate the LCM of 365, 205, 917, 278, 134?
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 365, 205, 917, 278, 134.
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}.