Find the LCM of 893, 323, 646, 924, 962 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 893, 323, 646, 924, 962. So, keep reading to learn more.
Given numbers are 893,323,646,924,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,323,646,924,962 is 6747104364.
Find LCM of 893,323,646,924,962 with Prime Factorization
2 | 893, 323, 646, 924, 962 |
17 | 893, 323, 323, 462, 481 |
19 | 893, 19, 19, 462, 481 |
47, 1, 1, 462, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 47 x 1 x 1 x 462 x 481 = 6747104364
Therefore, the lowest common multiple of 893,323,646,924,962 is 6747104364.
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.
893 x 323 x 646 x 924 x 962 = 165627917927472
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.
893 : 1, 19, 47, 893
323 : 1, 17, 19, 323
646 : 1, 2, 17, 19, 34, 38, 323, 646
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,323,646,924,962, is 1.
Now, the common factors can be found like this.
893:19x 47
323:17x 19
646:2x 17x 19
924:2x 2x 3x 7x 11
962:2x 13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 17x 19x 19 = 24548
Therefore, the value for common factors is 24548.
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 = 165627917927472/(1x24548)
LCM = 165627917927472/24548
LCM = 6747104364
Thus, we can understand that the LCM of 893,323,646,924,962 is 6747104364.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 323, 646, 924, 962?
Answer: LCM of 893, 323, 646, 924, 962 is 6747104364.
2. How to calculate the LCM of 893, 323, 646, 924, 962?
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 893, 323, 646, 924, 962.
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}.