Find the LCM of 452, 858, 774, 551 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 452, 858, 774, 551. So, keep reading to learn more.
Given numbers are 452,858,774,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,858,774,551 is 13782786732.
Find LCM of 452,858,774,551 with Prime Factorization
2 | 452, 858, 774, 551 |
3 | 226, 429, 387, 551 |
226, 143, 129, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 226 x 143 x 129 x 551 = 13782786732
Therefore, the lowest common multiple of 452,858,774,551 is 13782786732.
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.
452 x 858 x 774 x 551 = 165393440784
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.
452 : 1, 2, 4, 113, 226, 452
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,858,774,551, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
858:2x 3x 11x 13
774:2x 3x 3x 43
551:19x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 165393440784/(1x12)
LCM = 165393440784/12
LCM = 13782786732
Thus, we can understand that the LCM of 452,858,774,551 is 13782786732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 858, 774, 551?
Answer: LCM of 452, 858, 774, 551 is 13782786732.
2. How to calculate the LCM of 452, 858, 774, 551?
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 452, 858, 774, 551.
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}.