Find the LCM of 771, 748, 305, 832, 986 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 771, 748, 305, 832, 986. So, keep reading to learn more.
Given numbers are 771,748,305,832,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,748,305,832,986 is 1061004310080.
Find LCM of 771,748,305,832,986 with Prime Factorization
2 | 771, 748, 305, 832, 986 |
2 | 771, 374, 305, 416, 493 |
17 | 771, 187, 305, 208, 493 |
771, 11, 305, 208, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 771 x 11 x 305 x 208 x 29 = 1061004310080
Therefore, the lowest common multiple of 771,748,305,832,986 is 1061004310080.
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.
771 x 748 x 305 x 832 x 986 = 144296586170880
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.
771 : 1, 3, 257, 771
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
305 : 1, 5, 61, 305
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,748,305,832,986, is 1.
Now, the common factors can be found like this.
771:3x 257
748:2x 2x 11x 17
305:5x 61
832:2x 2x 2x 2x 2x 2x 13
986:2x 17x 29
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 17 = 136
Therefore, the value for common factors is 136.
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 = 144296586170880/(1x136)
LCM = 144296586170880/136
LCM = 1061004310080
Thus, we can understand that the LCM of 771,748,305,832,986 is 1061004310080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 771, 748, 305, 832, 986?
Answer: LCM of 771, 748, 305, 832, 986 is 1061004310080.
2. How to calculate the LCM of 771, 748, 305, 832, 986?
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 771, 748, 305, 832, 986.
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}.