Find the LCM of 375, 395, 397, 468, 637 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 375, 395, 397, 468, 637. So, keep reading to learn more.
Given numbers are 375,395,397,468,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,395,397,468,637 is 89902039500.
Find LCM of 375,395,397,468,637 with Prime Factorization
3 | 375, 395, 397, 468, 637 |
5 | 125, 395, 397, 156, 637 |
13 | 25, 79, 397, 156, 637 |
25, 79, 397, 12, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 25 x 79 x 397 x 12 x 49 = 89902039500
Therefore, the lowest common multiple of 375,395,397,468,637 is 89902039500.
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.
375 x 395 x 397 x 468 x 637 = 17530897702500
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
395 : 1, 5, 79, 395
397 : 1, 397
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,395,397,468,637, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
395:5x 79
397:397
468:2x 2x 3x 3x 13
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 17530897702500/(1x195)
LCM = 17530897702500/195
LCM = 89902039500
Thus, we can understand that the LCM of 375,395,397,468,637 is 89902039500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 375, 395, 397, 468, 637?
Answer: LCM of 375, 395, 397, 468, 637 is 89902039500.
2. How to calculate the LCM of 375, 395, 397, 468, 637?
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 375, 395, 397, 468, 637.
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}.