Find the LCM of 248, 133, 342, 551, 664 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 248, 133, 342, 551, 664. So, keep reading to learn more.
Given numbers are 248,133,342,551,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,133,342,551,664 is 714532392.
Find LCM of 248,133,342,551,664 with Prime Factorization
2 | 248, 133, 342, 551, 664 |
2 | 124, 133, 171, 551, 332 |
2 | 62, 133, 171, 551, 166 |
19 | 31, 133, 171, 551, 83 |
31, 7, 9, 29, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 31 x 7 x 9 x 29 x 83 = 714532392
Therefore, the lowest common multiple of 248,133,342,551,664 is 714532392.
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.
248 x 133 x 342 x 551 x 664 = 4127139096192
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
133 : 1, 7, 19, 133
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
551 : 1, 19, 29, 551
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,133,342,551,664, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
133:7x 19
342:2x 3x 3x 19
551:19x 29
664:2x 2x 2x 83
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 19x 19 = 5776
Therefore, the value for common factors is 5776.
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 = 4127139096192/(1x5776)
LCM = 4127139096192/5776
LCM = 714532392
Thus, we can understand that the LCM of 248,133,342,551,664 is 714532392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 133, 342, 551, 664?
Answer: LCM of 248, 133, 342, 551, 664 is 714532392.
2. How to calculate the LCM of 248, 133, 342, 551, 664?
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 248, 133, 342, 551, 664.
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}.