Find the LCM of 901, 442, 907, 805, 884 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 901, 442, 907, 805, 884. So, keep reading to learn more.
Given numbers are 901,442,907,805,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,442,907,805,884 is 34208285020.
Find LCM of 901,442,907,805,884 with Prime Factorization
2 | 901, 442, 907, 805, 884 |
13 | 901, 221, 907, 805, 442 |
17 | 901, 17, 907, 805, 34 |
53, 1, 907, 805, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 53 x 1 x 907 x 805 x 2 = 34208285020
Therefore, the lowest common multiple of 901,442,907,805,884 is 34208285020.
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.
901 x 442 x 907 x 805 x 884 = 257041053640280
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.
901 : 1, 17, 53, 901
442 : 1, 2, 13, 17, 26, 34, 221, 442
907 : 1, 907
805 : 1, 5, 7, 23, 35, 115, 161, 805
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,442,907,805,884, is 1.
Now, the common factors can be found like this.
901:17x 53
442:2x 13x 17
907:907
805:5x 7x 23
884:2x 2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17x 17 = 7514
Therefore, the value for common factors is 7514.
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 = 257041053640280/(1x7514)
LCM = 257041053640280/7514
LCM = 34208285020
Thus, we can understand that the LCM of 901,442,907,805,884 is 34208285020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 442, 907, 805, 884?
Answer: LCM of 901, 442, 907, 805, 884 is 34208285020.
2. How to calculate the LCM of 901, 442, 907, 805, 884?
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 901, 442, 907, 805, 884.
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}.