Find the LCM of 749, 563, 968, 715, 875 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 749, 563, 968, 715, 875. So, keep reading to learn more.
Given numbers are 749,563,968,715,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,563,968,715,875 is 663313651000.
Find LCM of 749,563,968,715,875 with Prime Factorization
5 | 749, 563, 968, 715, 875 |
7 | 749, 563, 968, 143, 175 |
11 | 107, 563, 968, 143, 25 |
107, 563, 88, 13, 25 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 107 x 563 x 88 x 13 x 25 = 663313651000
Therefore, the lowest common multiple of 749,563,968,715,875 is 663313651000.
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.
749 x 563 x 968 x 715 x 875 = 255375755635000
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.
749 : 1, 7, 107, 749
563 : 1, 563
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
715 : 1, 5, 11, 13, 55, 65, 143, 715
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,563,968,715,875, is 1.
Now, the common factors can be found like this.
749:7x 107
563:563
968:2x 2x 2x 11x 11
715:5x 11x 13
875:5x 5x 5x 7
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 11 = 385
Therefore, the value for common factors is 385.
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 = 255375755635000/(1x385)
LCM = 255375755635000/385
LCM = 663313651000
Thus, we can understand that the LCM of 749,563,968,715,875 is 663313651000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 563, 968, 715, 875?
Answer: LCM of 749, 563, 968, 715, 875 is 663313651000.
2. How to calculate the LCM of 749, 563, 968, 715, 875?
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 749, 563, 968, 715, 875.
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}.