Find the LCM of 397, 612, 270, 576, 370 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 397, 612, 270, 576, 370. So, keep reading to learn more.
Given numbers are 397,612,270,576,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,612,270,576,370 is 2157520320.
Find LCM of 397,612,270,576,370 with Prime Factorization
2 | 397, 612, 270, 576, 370 |
2 | 397, 306, 135, 288, 185 |
3 | 397, 153, 135, 144, 185 |
3 | 397, 51, 45, 48, 185 |
5 | 397, 17, 15, 16, 185 |
397, 17, 3, 16, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 397 x 17 x 3 x 16 x 37 = 2157520320
Therefore, the lowest common multiple of 397,612,270,576,370 is 2157520320.
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.
397 x 612 x 270 x 576 x 370 = 13980731673600
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.
397 : 1, 397
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,612,270,576,370, is 1.
Now, the common factors can be found like this.
397:397
612:2x 2x 3x 3x 17
270:2x 3x 3x 3x 5
576:2x 2x 2x 2x 2x 2x 3x 3
370:2x 5x 37
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 3x 3x 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 13980731673600/(1x6480)
LCM = 13980731673600/6480
LCM = 2157520320
Thus, we can understand that the LCM of 397,612,270,576,370 is 2157520320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 612, 270, 576, 370?
Answer: LCM of 397, 612, 270, 576, 370 is 2157520320.
2. How to calculate the LCM of 397, 612, 270, 576, 370?
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 397, 612, 270, 576, 370.
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}.