LCM of 438, 447, 438, 102, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 447, 438, 102, 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 438, 447, 438, 102, 952. So, keep reading to learn more.
Given numbers are 438,447,438,102,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,447,438,102,952 is 31064712.
Find LCM of 438,447,438,102,952 with Prime Factorization
| 2 | 438, 447, 438, 102, 952 |
| 3 | 219, 447, 219, 51, 476 |
| 17 | 73, 149, 73, 17, 476 |
| 73 | 73, 149, 73, 1, 28 |
| 1, 149, 1, 1, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 73 x 1 x 149 x 1 x 1 x 28 = 31064712
Therefore, the lowest common multiple of 438,447,438,102,952 is 31064712.
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.
438 x 447 x 438 x 102 x 952 = 8327082439872
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
447 : 1, 3, 149, 447
438 : 1, 2, 3, 6, 73, 146, 219, 438
102 : 1, 2, 3, 6, 17, 34, 51, 102
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 438,447,438,102,952, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
447:3x 149
438:2x 3x 73
102:2x 3x 17
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 2x 3x 3x 3x 17x 73 = 268056
Therefore, the value for common factors is 268056.
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 = 8327082439872/(1x268056)
LCM = 8327082439872/268056
LCM = 31064712
Thus, we can understand that the LCM of 438,447,438,102,952 is 31064712.
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FAQs on LCM of 438, 447, 438, 102, 952
1. What is the LCM of 438, 447, 438, 102, 952?
Answer: LCM of 438, 447, 438, 102, 952 is 31064712.
2. How to calculate the LCM of 438, 447, 438, 102, 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 438, 447, 438, 102, 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}.