Find the LCM of 322, 562, 294, 624, 239 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 322, 562, 294, 624, 239. So, keep reading to learn more.
Given numbers are 322,562,294,624,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,562,294,624,239 is 47229432432.
Find LCM of 322,562,294,624,239 with Prime Factorization
2 | 322, 562, 294, 624, 239 |
3 | 161, 281, 147, 312, 239 |
7 | 161, 281, 49, 104, 239 |
23, 281, 7, 104, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 281 x 7 x 104 x 239 = 47229432432
Therefore, the lowest common multiple of 322,562,294,624,239 is 47229432432.
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.
322 x 562 x 294 x 624 x 239 = 7934544648576
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
562 : 1, 2, 281, 562
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,562,294,624,239, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
562:2x 281
294:2x 3x 7x 7
624:2x 2x 2x 2x 3x 13
239:239
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 7934544648576/(1x168)
LCM = 7934544648576/168
LCM = 47229432432
Thus, we can understand that the LCM of 322,562,294,624,239 is 47229432432.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 562, 294, 624, 239?
Answer: LCM of 322, 562, 294, 624, 239 is 47229432432.
2. How to calculate the LCM of 322, 562, 294, 624, 239?
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 322, 562, 294, 624, 239.
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}.