Find the LCM of 813, 564, 940, 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 813, 564, 940, 370. So, keep reading to learn more.
Given numbers are 813,564,940,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,564,940,370 is 28276140.
Find LCM of 813,564,940,370 with Prime Factorization
2 | 813, 564, 940, 370 |
2 | 813, 282, 470, 185 |
3 | 813, 141, 235, 185 |
5 | 271, 47, 235, 185 |
47 | 271, 47, 47, 37 |
271, 1, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 271 x 1 x 1 x 37 = 28276140
Therefore, the lowest common multiple of 813,564,940,370 is 28276140.
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.
813 x 564 x 940 x 370 = 159477429600
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.
813 : 1, 3, 271, 813
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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 813,564,940,370, is 1.
Now, the common factors can be found like this.
813:3x 271
564:2x 2x 3x 47
940:2x 2x 5x 47
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 3x 5x 47 = 5640
Therefore, the value for common factors is 5640.
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 = 159477429600/(1x5640)
LCM = 159477429600/5640
LCM = 28276140
Thus, we can understand that the LCM of 813,564,940,370 is 28276140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 564, 940, 370?
Answer: LCM of 813, 564, 940, 370 is 28276140.
2. How to calculate the LCM of 813, 564, 940, 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 813, 564, 940, 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}.