Find the LCM of 732, 541, 294, 653, 801 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 732, 541, 294, 653, 801. So, keep reading to learn more.
Given numbers are 732,541,294,653,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,541,294,653,801 is 3383209322388.
Find LCM of 732,541,294,653,801 with Prime Factorization
2 | 732, 541, 294, 653, 801 |
3 | 366, 541, 147, 653, 801 |
122, 541, 49, 653, 267 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 122 x 541 x 49 x 653 x 267 = 3383209322388
Therefore, the lowest common multiple of 732,541,294,653,801 is 3383209322388.
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.
732 x 541 x 294 x 653 x 801 = 60897767802984
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
541 : 1, 541
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
653 : 1, 653
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,541,294,653,801, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
541:541
294:2x 3x 7x 7
653:653
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 60897767802984/(1x18)
LCM = 60897767802984/18
LCM = 3383209322388
Thus, we can understand that the LCM of 732,541,294,653,801 is 3383209322388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 732, 541, 294, 653, 801?
Answer: LCM of 732, 541, 294, 653, 801 is 3383209322388.
2. How to calculate the LCM of 732, 541, 294, 653, 801?
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 732, 541, 294, 653, 801.
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}.