Find the LCM of 5, 404, 735, 952 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 5, 404, 735, 952. So, keep reading to learn more.
Given numbers are 5,404,735,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5,404,735,952 is 10095960.
Find LCM of 5,404,735,952 with Prime Factorization
2 | 5, 404, 735, 952 |
2 | 5, 202, 735, 476 |
5 | 5, 101, 735, 238 |
7 | 1, 101, 147, 238 |
1, 101, 21, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 1 x 101 x 21 x 34 = 10095960
Therefore, the lowest common multiple of 5,404,735,952 is 10095960.
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.
5 x 404 x 735 x 952 = 1413434400
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.
5 : 1, 5
404 : 1, 2, 4, 101, 202, 404
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,404,735,952, is 1.
Now, the common factors can be found like this.
5:5
404:2x 2x 101
735:3x 5x 7x 7
952:2x 2x 2x 7x 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 2x 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 1413434400/(1x140)
LCM = 1413434400/140
LCM = 10095960
Thus, we can understand that the LCM of 5,404,735,952 is 10095960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5, 404, 735, 952?
Answer: LCM of 5, 404, 735, 952 is 10095960.
2. How to calculate the LCM of 5, 404, 735, 952?
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 5, 404, 735, 952.
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}.