Find the LCM of 808, 975, 643, 505, 946 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 808, 975, 643, 505, 946. So, keep reading to learn more.
Given numbers are 808,975,643,505,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,975,643,505,946 is 239600704200.
Find LCM of 808,975,643,505,946 with Prime Factorization
2 | 808, 975, 643, 505, 946 |
5 | 404, 975, 643, 505, 473 |
101 | 404, 195, 643, 101, 473 |
4, 195, 643, 1, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 101 x 4 x 195 x 643 x 1 x 473 = 239600704200
Therefore, the lowest common multiple of 808,975,643,505,946 is 239600704200.
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.
808 x 975 x 643 x 505 x 946 = 241996711242000
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
643 : 1, 643
505 : 1, 5, 101, 505
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,975,643,505,946, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
975:3x 5x 5x 13
643:643
505:5x 101
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 101 = 1010
Therefore, the value for common factors is 1010.
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 = 241996711242000/(1x1010)
LCM = 241996711242000/1010
LCM = 239600704200
Thus, we can understand that the LCM of 808,975,643,505,946 is 239600704200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 975, 643, 505, 946?
Answer: LCM of 808, 975, 643, 505, 946 is 239600704200.
2. How to calculate the LCM of 808, 975, 643, 505, 946?
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 808, 975, 643, 505, 946.
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}.