Find the LCM of 733, 845, 328, 143 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 733, 845, 328, 143. So, keep reading to learn more.
Given numbers are 733,845,328,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,845,328,143 is 2234741080.
Find LCM of 733,845,328,143 with Prime Factorization
13 | 733, 845, 328, 143 |
733, 65, 328, 11 |
Multiply the prime numbers at the bottom and the left side.
13 x 733 x 65 x 328 x 11 = 2234741080
Therefore, the lowest common multiple of 733,845,328,143 is 2234741080.
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.
733 x 845 x 328 x 143 = 29051634040
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.
733 : 1, 733
845 : 1, 5, 13, 65, 169, 845
328 : 1, 2, 4, 8, 41, 82, 164, 328
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,845,328,143, is 1.
Now, the common factors can be found like this.
733:733
845:5x 13x 13
328:2x 2x 2x 41
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 29051634040/(1x13)
LCM = 29051634040/13
LCM = 2234741080
Thus, we can understand that the LCM of 733,845,328,143 is 2234741080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 733, 845, 328, 143?
Answer: LCM of 733, 845, 328, 143 is 2234741080.
2. How to calculate the LCM of 733, 845, 328, 143?
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 733, 845, 328, 143.
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}.