Find the LCM of 590, 458, 817, 340, 122 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 590, 458, 817, 340, 122. So, keep reading to learn more.
Given numbers are 590,458,817,340,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,458,817,340,122 is 228938220380.
Find LCM of 590,458,817,340,122 with Prime Factorization
2 | 590, 458, 817, 340, 122 |
5 | 295, 229, 817, 170, 61 |
59, 229, 817, 34, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 229 x 817 x 34 x 61 = 228938220380
Therefore, the lowest common multiple of 590,458,817,340,122 is 228938220380.
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.
590 x 458 x 817 x 340 x 122 = 9157528815200
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
458 : 1, 2, 229, 458
817 : 1, 19, 43, 817
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,458,817,340,122, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
458:2x 229
817:19x 43
340:2x 2x 5x 17
122:2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 9157528815200/(1x40)
LCM = 9157528815200/40
LCM = 228938220380
Thus, we can understand that the LCM of 590,458,817,340,122 is 228938220380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 458, 817, 340, 122?
Answer: LCM of 590, 458, 817, 340, 122 is 228938220380.
2. How to calculate the LCM of 590, 458, 817, 340, 122?
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 590, 458, 817, 340, 122.
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}.