Find the LCM of 353, 632, 589, 913, 110 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 353, 632, 589, 913, 110. So, keep reading to learn more.
Given numbers are 353,632,589,913,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,632,589,913,110 is 599857178360.
Find LCM of 353,632,589,913,110 with Prime Factorization
2 | 353, 632, 589, 913, 110 |
11 | 353, 316, 589, 913, 55 |
353, 316, 589, 83, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 353 x 316 x 589 x 83 x 5 = 599857178360
Therefore, the lowest common multiple of 353,632,589,913,110 is 599857178360.
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.
353 x 632 x 589 x 913 x 110 = 13196857923920
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.
353 : 1, 353
632 : 1, 2, 4, 8, 79, 158, 316, 632
589 : 1, 19, 31, 589
913 : 1, 11, 83, 913
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,632,589,913,110, is 1.
Now, the common factors can be found like this.
353:353
632:2x 2x 2x 79
589:19x 31
913:11x 83
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 13196857923920/(1x22)
LCM = 13196857923920/22
LCM = 599857178360
Thus, we can understand that the LCM of 353,632,589,913,110 is 599857178360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 353, 632, 589, 913, 110?
Answer: LCM of 353, 632, 589, 913, 110 is 599857178360.
2. How to calculate the LCM of 353, 632, 589, 913, 110?
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 353, 632, 589, 913, 110.
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}.