Find the LCM of 193, 551, 836, 424, 744 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 193, 551, 836, 424, 744. So, keep reading to learn more.
Given numbers are 193,551,836,424,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,551,836,424,744 is 46126488936.
Find LCM of 193,551,836,424,744 with Prime Factorization
2 | 193, 551, 836, 424, 744 |
2 | 193, 551, 418, 212, 372 |
2 | 193, 551, 209, 106, 186 |
19 | 193, 551, 209, 53, 93 |
193, 29, 11, 53, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 193 x 29 x 11 x 53 x 93 = 46126488936
Therefore, the lowest common multiple of 193,551,836,424,744 is 46126488936.
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.
193 x 551 x 836 x 424 x 744 = 28044905273088
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.
193 : 1, 193
551 : 1, 19, 29, 551
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
424 : 1, 2, 4, 8, 53, 106, 212, 424
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,551,836,424,744, is 1.
Now, the common factors can be found like this.
193:193
551:19x 29
836:2x 2x 11x 19
424:2x 2x 2x 53
744:2x 2x 2x 3x 31
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 19 = 608
Therefore, the value for common factors is 608.
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 = 28044905273088/(1x608)
LCM = 28044905273088/608
LCM = 46126488936
Thus, we can understand that the LCM of 193,551,836,424,744 is 46126488936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 193, 551, 836, 424, 744?
Answer: LCM of 193, 551, 836, 424, 744 is 46126488936.
2. How to calculate the LCM of 193, 551, 836, 424, 744?
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 193, 551, 836, 424, 744.
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}.