Find the LCM of 891, 411, 611, 649, 753 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 891, 411, 611, 649, 753. So, keep reading to learn more.
Given numbers are 891,411,611,649,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,411,611,649,753 is 1104498714033.
Find LCM of 891,411,611,649,753 with Prime Factorization
3 | 891, 411, 611, 649, 753 |
11 | 297, 137, 611, 649, 251 |
27, 137, 611, 59, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 27 x 137 x 611 x 59 x 251 = 1104498714033
Therefore, the lowest common multiple of 891,411,611,649,753 is 1104498714033.
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.
891 x 411 x 611 x 649 x 753 = 109345372689267
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
411 : 1, 3, 137, 411
611 : 1, 13, 47, 611
649 : 1, 11, 59, 649
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,411,611,649,753, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
411:3x 137
611:13x 47
649:11x 59
753:3x 251
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 11 = 99
Therefore, the value for common factors is 99.
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 = 109345372689267/(1x99)
LCM = 109345372689267/99
LCM = 1104498714033
Thus, we can understand that the LCM of 891,411,611,649,753 is 1104498714033.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 411, 611, 649, 753?
Answer: LCM of 891, 411, 611, 649, 753 is 1104498714033.
2. How to calculate the LCM of 891, 411, 611, 649, 753?
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 891, 411, 611, 649, 753.
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}.