Find the LCM of 911, 192, 341, 968, 708 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 911, 192, 341, 968, 708. So, keep reading to learn more.
Given numbers are 911,192,341,968,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,192,341,968,708 is 38709599808.
Find LCM of 911,192,341,968,708 with Prime Factorization
2 | 911, 192, 341, 968, 708 |
2 | 911, 96, 341, 484, 354 |
2 | 911, 48, 341, 242, 177 |
3 | 911, 24, 341, 121, 177 |
11 | 911, 8, 341, 121, 59 |
911, 8, 31, 11, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 911 x 8 x 31 x 11 x 59 = 38709599808
Therefore, the lowest common multiple of 911,192,341,968,708 is 38709599808.
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.
911 x 192 x 341 x 968 x 708 = 40877337397248
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.
911 : 1, 911
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
341 : 1, 11, 31, 341
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,192,341,968,708, is 1.
Now, the common factors can be found like this.
911:911
192:2x 2x 2x 2x 2x 2x 3
341:11x 31
968:2x 2x 2x 11x 11
708:2x 2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 40877337397248/(1x1056)
LCM = 40877337397248/1056
LCM = 38709599808
Thus, we can understand that the LCM of 911,192,341,968,708 is 38709599808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 911, 192, 341, 968, 708?
Answer: LCM of 911, 192, 341, 968, 708 is 38709599808.
2. How to calculate the LCM of 911, 192, 341, 968, 708?
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 911, 192, 341, 968, 708.
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}.