LCM of 784, 838, 968, 257, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 838, 968, 257, 909 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 784, 838, 968, 257, 909. So, keep reading to learn more.
Given numbers are 784,838,968,257,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,838,968,257,909 is 9285653261808.
Find LCM of 784,838,968,257,909 with Prime Factorization
| 2 | 784, 838, 968, 257, 909 |
| 2 | 392, 419, 484, 257, 909 |
| 2 | 196, 419, 242, 257, 909 |
| 98, 419, 121, 257, 909 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 98 x 419 x 121 x 257 x 909 = 9285653261808
Therefore, the lowest common multiple of 784,838,968,257,909 is 9285653261808.
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.
784 x 838 x 968 x 257 x 909 = 148570452188928
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
838 : 1, 2, 419, 838
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
257 : 1, 257
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,838,968,257,909, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
838:2x 419
968:2x 2x 2x 11x 11
257:257
909:3x 3x 101
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 2 = 16
Therefore, the value for common factors is 16.
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 = 148570452188928/(1x16)
LCM = 148570452188928/16
LCM = 9285653261808
Thus, we can understand that the LCM of 784,838,968,257,909 is 9285653261808.
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FAQs on LCM of 784, 838, 968, 257, 909
1. What is the LCM of 784, 838, 968, 257, 909?
Answer: LCM of 784, 838, 968, 257, 909 is 9285653261808.
2. How to calculate the LCM of 784, 838, 968, 257, 909?
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 784, 838, 968, 257, 909.
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}.