Find the LCM of 779, 749, 968, 207, 502 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 779, 749, 968, 207, 502. So, keep reading to learn more.
Given numbers are 779,749,968,207,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,749,968,207,502 is 29345309859096.
Find LCM of 779,749,968,207,502 with Prime Factorization
2 | 779, 749, 968, 207, 502 |
779, 749, 484, 207, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 779 x 749 x 484 x 207 x 251 = 29345309859096
Therefore, the lowest common multiple of 779,749,968,207,502 is 29345309859096.
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.
779 x 749 x 968 x 207 x 502 = 58690619718192
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.
779 : 1, 19, 41, 779
749 : 1, 7, 107, 749
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
207 : 1, 3, 9, 23, 69, 207
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,749,968,207,502, is 1.
Now, the common factors can be found like this.
779:19x 41
749:7x 107
968:2x 2x 2x 11x 11
207:3x 3x 23
502:2x 251
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 = 58690619718192/(1x2)
LCM = 58690619718192/2
LCM = 29345309859096
Thus, we can understand that the LCM of 779,749,968,207,502 is 29345309859096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 749, 968, 207, 502?
Answer: LCM of 779, 749, 968, 207, 502 is 29345309859096.
2. How to calculate the LCM of 779, 749, 968, 207, 502?
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 779, 749, 968, 207, 502.
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}.