Find the LCM of 984, 701, 287, 733 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 984, 701, 287, 733. So, keep reading to learn more.
Given numbers are 984,701,287,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,701,287,733 is 3539281704.
Find LCM of 984,701,287,733 with Prime Factorization
41 | 984, 701, 287, 733 |
24, 701, 7, 733 |
Multiply the prime numbers at the bottom and the left side.
41 x 24 x 701 x 7 x 733 = 3539281704
Therefore, the lowest common multiple of 984,701,287,733 is 3539281704.
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.
984 x 701 x 287 x 733 = 145110549864
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
701 : 1, 701
287 : 1, 7, 41, 287
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,701,287,733, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
701:701
287:7x 41
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 145110549864/(1x41)
LCM = 145110549864/41
LCM = 3539281704
Thus, we can understand that the LCM of 984,701,287,733 is 3539281704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 984, 701, 287, 733?
Answer: LCM of 984, 701, 287, 733 is 3539281704.
2. How to calculate the LCM of 984, 701, 287, 733?
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 984, 701, 287, 733.
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}.