Find the LCM of 387, 946, 989, 878, 502 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 387, 946, 989, 878, 502. So, keep reading to learn more.
Given numbers are 387,946,989,878,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,946,989,878,502 is 21577430358.
Find LCM of 387,946,989,878,502 with Prime Factorization
2 | 387, 946, 989, 878, 502 |
43 | 387, 473, 989, 439, 251 |
9, 11, 23, 439, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 9 x 11 x 23 x 439 x 251 = 21577430358
Therefore, the lowest common multiple of 387,946,989,878,502 is 21577430358.
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.
387 x 946 x 989 x 878 x 502 = 159586674927768
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.
387 : 1, 3, 9, 43, 129, 387
946 : 1, 2, 11, 22, 43, 86, 473, 946
989 : 1, 23, 43, 989
878 : 1, 2, 439, 878
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,946,989,878,502, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
946:2x 11x 43
989:23x 43
878:2x 439
502:2x 251
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 43x 43 = 7396
Therefore, the value for common factors is 7396.
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 = 159586674927768/(1x7396)
LCM = 159586674927768/7396
LCM = 21577430358
Thus, we can understand that the LCM of 387,946,989,878,502 is 21577430358.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 387, 946, 989, 878, 502?
Answer: LCM of 387, 946, 989, 878, 502 is 21577430358.
2. How to calculate the LCM of 387, 946, 989, 878, 502?
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 387, 946, 989, 878, 502.
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}.