Find the LCM of 358, 989, 209, 475, 817 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 358, 989, 209, 475, 817. So, keep reading to learn more.
Given numbers are 358,989,209,475,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,989,209,475,817 is 1849973950.
Find LCM of 358,989,209,475,817 with Prime Factorization
19 | 358, 989, 209, 475, 817 |
43 | 358, 989, 11, 25, 43 |
358, 23, 11, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
19 x 43 x 358 x 23 x 11 x 25 x 1 = 1849973950
Therefore, the lowest common multiple of 358,989,209,475,817 is 1849973950.
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.
358 x 989 x 209 x 475 x 817 = 28717145625850
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.
358 : 1, 2, 179, 358
989 : 1, 23, 43, 989
209 : 1, 11, 19, 209
475 : 1, 5, 19, 25, 95, 475
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,989,209,475,817, is 1.
Now, the common factors can be found like this.
358:2x 179
989:23x 43
209:11x 19
475:5x 5x 19
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19x 43 = 15523
Therefore, the value for common factors is 15523.
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 = 28717145625850/(1x15523)
LCM = 28717145625850/15523
LCM = 1849973950
Thus, we can understand that the LCM of 358,989,209,475,817 is 1849973950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 989, 209, 475, 817?
Answer: LCM of 358, 989, 209, 475, 817 is 1849973950.
2. How to calculate the LCM of 358, 989, 209, 475, 817?
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 358, 989, 209, 475, 817.
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}.