Find the LCM of 113, 715, 805, 374, 693 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 113, 715, 805, 374, 693. So, keep reading to learn more.
Given numbers are 113,715,805,374,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,715,805,374,693 is 3980446470.
Find LCM of 113,715,805,374,693 with Prime Factorization
5 | 113, 715, 805, 374, 693 |
7 | 113, 143, 161, 374, 693 |
11 | 113, 143, 23, 374, 99 |
113, 13, 23, 34, 9 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 113 x 13 x 23 x 34 x 9 = 3980446470
Therefore, the lowest common multiple of 113,715,805,374,693 is 3980446470.
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.
113 x 715 x 805 x 374 x 693 = 16857190800450
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.
113 : 1, 113
715 : 1, 5, 11, 13, 55, 65, 143, 715
805 : 1, 5, 7, 23, 35, 115, 161, 805
374 : 1, 2, 11, 17, 22, 34, 187, 374
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,715,805,374,693, is 1.
Now, the common factors can be found like this.
113:113
715:5x 11x 13
805:5x 7x 23
374:2x 11x 17
693:3x 3x 7x 11
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 11x 11 = 4235
Therefore, the value for common factors is 4235.
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 = 16857190800450/(1x4235)
LCM = 16857190800450/4235
LCM = 3980446470
Thus, we can understand that the LCM of 113,715,805,374,693 is 3980446470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 113, 715, 805, 374, 693?
Answer: LCM of 113, 715, 805, 374, 693 is 3980446470.
2. How to calculate the LCM of 113, 715, 805, 374, 693?
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 113, 715, 805, 374, 693.
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}.