Find the LCM of 173, 973, 398, 530, 823 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 173, 973, 398, 530, 823. So, keep reading to learn more.
Given numbers are 173,973,398,530,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,973,398,530,823 is 14611261875490.
Find LCM of 173,973,398,530,823 with Prime Factorization
2 | 173, 973, 398, 530, 823 |
173, 973, 199, 265, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 973 x 199 x 265 x 823 = 14611261875490
Therefore, the lowest common multiple of 173,973,398,530,823 is 14611261875490.
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.
173 x 973 x 398 x 530 x 823 = 29222523750980
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.
173 : 1, 173
973 : 1, 7, 139, 973
398 : 1, 2, 199, 398
530 : 1, 2, 5, 10, 53, 106, 265, 530
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,973,398,530,823, is 1.
Now, the common factors can be found like this.
173:173
973:7x 139
398:2x 199
530:2x 5x 53
823:823
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 29222523750980/(1x2)
LCM = 29222523750980/2
LCM = 14611261875490
Thus, we can understand that the LCM of 173,973,398,530,823 is 14611261875490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 173, 973, 398, 530, 823?
Answer: LCM of 173, 973, 398, 530, 823 is 14611261875490.
2. How to calculate the LCM of 173, 973, 398, 530, 823?
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 173, 973, 398, 530, 823.
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}.