Find the LCM of 551, 848, 342, 388, 828 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 551, 848, 342, 388, 828. So, keep reading to learn more.
Given numbers are 551,848,342,388,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,848,342,388,828 is 9381872592.
Find LCM of 551,848,342,388,828 with Prime Factorization
2 | 551, 848, 342, 388, 828 |
2 | 551, 424, 171, 194, 414 |
3 | 551, 212, 171, 97, 207 |
3 | 551, 212, 57, 97, 69 |
19 | 551, 212, 19, 97, 23 |
29, 212, 1, 97, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 29 x 212 x 1 x 97 x 23 = 9381872592
Therefore, the lowest common multiple of 551,848,342,388,828 is 9381872592.
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.
551 x 848 x 342 x 388 x 828 = 51337606823424
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.
551 : 1, 19, 29, 551
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
388 : 1, 2, 4, 97, 194, 388
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,848,342,388,828, is 1.
Now, the common factors can be found like this.
551:19x 29
848:2x 2x 2x 2x 53
342:2x 3x 3x 19
388:2x 2x 97
828:2x 2x 3x 3x 23
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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 51337606823424/(1x5472)
LCM = 51337606823424/5472
LCM = 9381872592
Thus, we can understand that the LCM of 551,848,342,388,828 is 9381872592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 551, 848, 342, 388, 828?
Answer: LCM of 551, 848, 342, 388, 828 is 9381872592.
2. How to calculate the LCM of 551, 848, 342, 388, 828?
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 551, 848, 342, 388, 828.
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}.