Find the LCM of 145, 365, 203, 492, 917 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 145, 365, 203, 492, 917. So, keep reading to learn more.
Given numbers are 145,365,203,492,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,365,203,492,917 is 4775570940.
Find LCM of 145,365,203,492,917 with Prime Factorization
5 | 145, 365, 203, 492, 917 |
7 | 29, 73, 203, 492, 917 |
29 | 29, 73, 29, 492, 131 |
1, 73, 1, 492, 131 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 29 x 1 x 73 x 1 x 492 x 131 = 4775570940
Therefore, the lowest common multiple of 145,365,203,492,917 is 4775570940.
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.
145 x 365 x 203 x 492 x 917 = 4847204504100
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.
145 : 1, 5, 29, 145
365 : 1, 5, 73, 365
203 : 1, 7, 29, 203
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,365,203,492,917, is 1.
Now, the common factors can be found like this.
145:5x 29
365:5x 73
203:7x 29
492:2x 2x 3x 41
917:7x 131
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 29 = 1015
Therefore, the value for common factors is 1015.
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 = 4847204504100/(1x1015)
LCM = 4847204504100/1015
LCM = 4775570940
Thus, we can understand that the LCM of 145,365,203,492,917 is 4775570940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 145, 365, 203, 492, 917?
Answer: LCM of 145, 365, 203, 492, 917 is 4775570940.
2. How to calculate the LCM of 145, 365, 203, 492, 917?
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 145, 365, 203, 492, 917.
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}.