Find the LCM of 952, 772, 920, 732, 230 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 952, 772, 920, 732, 230. So, keep reading to learn more.
Given numbers are 952,772,920,732,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,772,920,732,230 is 3866724120.
Find LCM of 952,772,920,732,230 with Prime Factorization
2 | 952, 772, 920, 732, 230 |
2 | 476, 386, 460, 366, 115 |
2 | 238, 193, 230, 183, 115 |
5 | 119, 193, 115, 183, 115 |
23 | 119, 193, 23, 183, 23 |
119, 193, 1, 183, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 119 x 193 x 1 x 183 x 1 = 3866724120
Therefore, the lowest common multiple of 952,772,920,732,230 is 3866724120.
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.
952 x 772 x 920 x 732 x 230 = 113836358092800
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
772 : 1, 2, 4, 193, 386, 772
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
230 : 1, 2, 5, 10, 23, 46, 115, 230
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,772,920,732,230, is 2.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
772:2x 2x 193
920:2x 2x 2x 5x 23
732:2x 2x 3x 61
230:2x 5x 23
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 2x 2x 2x 2x 2x 5x 23 = 14720
Therefore, the value for common factors is 14720.
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 = 113836358092800/(2x14720)
LCM = 113836358092800/29440
LCM = 3866724120
Thus, we can understand that the LCM of 952,772,920,732,230 is 3866724120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 772, 920, 732, 230?
Answer: LCM of 952, 772, 920, 732, 230 is 3866724120.
2. How to calculate the LCM of 952, 772, 920, 732, 230?
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 952, 772, 920, 732, 230.
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}.