Find the LCM of 632, 381, 975, 962, 495 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 632, 381, 975, 962, 495. So, keep reading to learn more.
Given numbers are 632,381,975,962,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,381,975,962,495 is 95552285400.
Find LCM of 632,381,975,962,495 with Prime Factorization
2 | 632, 381, 975, 962, 495 |
3 | 316, 381, 975, 481, 495 |
5 | 316, 127, 325, 481, 165 |
13 | 316, 127, 65, 481, 33 |
316, 127, 5, 37, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 316 x 127 x 5 x 37 x 33 = 95552285400
Therefore, the lowest common multiple of 632,381,975,962,495 is 95552285400.
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.
632 x 381 x 975 x 962 x 495 = 111796173918000
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
381 : 1, 3, 127, 381
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
962 : 1, 2, 13, 26, 37, 74, 481, 962
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,381,975,962,495, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
381:3x 127
975:3x 5x 5x 13
962:2x 13x 37
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 111796173918000/(1x1170)
LCM = 111796173918000/1170
LCM = 95552285400
Thus, we can understand that the LCM of 632,381,975,962,495 is 95552285400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 381, 975, 962, 495?
Answer: LCM of 632, 381, 975, 962, 495 is 95552285400.
2. How to calculate the LCM of 632, 381, 975, 962, 495?
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 632, 381, 975, 962, 495.
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}.