Find the LCM of 651, 753, 801, 332, 465 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 651, 753, 801, 332, 465. So, keep reading to learn more.
Given numbers are 651,753,801,332,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,753,801,332,465 is 72422591220.
Find LCM of 651,753,801,332,465 with Prime Factorization
3 | 651, 753, 801, 332, 465 |
31 | 217, 251, 267, 332, 155 |
7, 251, 267, 332, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 7 x 251 x 267 x 332 x 5 = 72422591220
Therefore, the lowest common multiple of 651,753,801,332,465 is 72422591220.
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.
651 x 753 x 801 x 332 x 465 = 60617708851140
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
753 : 1, 3, 251, 753
801 : 1, 3, 9, 89, 267, 801
332 : 1, 2, 4, 83, 166, 332
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,753,801,332,465, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
753:3x 251
801:3x 3x 89
332:2x 2x 83
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 31 = 837
Therefore, the value for common factors is 837.
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 = 60617708851140/(1x837)
LCM = 60617708851140/837
LCM = 72422591220
Thus, we can understand that the LCM of 651,753,801,332,465 is 72422591220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 651, 753, 801, 332, 465?
Answer: LCM of 651, 753, 801, 332, 465 is 72422591220.
2. How to calculate the LCM of 651, 753, 801, 332, 465?
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 651, 753, 801, 332, 465.
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}.