Find the LCM of 776, 156, 792, 598, 107 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 776, 156, 792, 598, 107. So, keep reading to learn more.
Given numbers are 776,156,792,598,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,156,792,598,107 is 2457830232.
Find LCM of 776,156,792,598,107 with Prime Factorization
2 | 776, 156, 792, 598, 107 |
2 | 388, 78, 396, 299, 107 |
2 | 194, 39, 198, 299, 107 |
3 | 97, 39, 99, 299, 107 |
13 | 97, 13, 33, 299, 107 |
97, 1, 33, 23, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 97 x 1 x 33 x 23 x 107 = 2457830232
Therefore, the lowest common multiple of 776,156,792,598,107 is 2457830232.
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.
776 x 156 x 792 x 598 x 107 = 6134744259072
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
598 : 1, 2, 13, 23, 26, 46, 299, 598
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,156,792,598,107, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
156:2x 2x 3x 13
792:2x 2x 2x 3x 3x 11
598:2x 13x 23
107:107
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 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 6134744259072/(1x2496)
LCM = 6134744259072/2496
LCM = 2457830232
Thus, we can understand that the LCM of 776,156,792,598,107 is 2457830232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 776, 156, 792, 598, 107?
Answer: LCM of 776, 156, 792, 598, 107 is 2457830232.
2. How to calculate the LCM of 776, 156, 792, 598, 107?
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 776, 156, 792, 598, 107.
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}.