Find the LCM of 733, 646, 139, 396, 821 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, 646, 139, 396, 821. So, keep reading to learn more.
Given numbers are 733,646,139,396,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,646,139,396,821 is 10699405327116.
Find LCM of 733,646,139,396,821 with Prime Factorization
2 | 733, 646, 139, 396, 821 |
733, 323, 139, 198, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 733 x 323 x 139 x 198 x 821 = 10699405327116
Therefore, the lowest common multiple of 733,646,139,396,821 is 10699405327116.
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 646 x 139 x 396 x 821 = 21398810654232
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
139 : 1, 139
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,646,139,396,821, is 1.
Now, the common factors can be found like this.
733:733
646:2x 17x 19
139:139
396:2x 2x 3x 3x 11
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 21398810654232/(1x2)
LCM = 21398810654232/2
LCM = 10699405327116
Thus, we can understand that the LCM of 733,646,139,396,821 is 10699405327116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 733, 646, 139, 396, 821?
Answer: LCM of 733, 646, 139, 396, 821 is 10699405327116.
2. How to calculate the LCM of 733, 646, 139, 396, 821?
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, 646, 139, 396, 821.
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}.