Find the LCM of 940, 657, 946, 638, 428 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 940, 657, 946, 638, 428. So, keep reading to learn more.
Given numbers are 940,657,946,638,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,657,946,638,428 is 906433900020.
Find LCM of 940,657,946,638,428 with Prime Factorization
2 | 940, 657, 946, 638, 428 |
2 | 470, 657, 473, 319, 214 |
11 | 235, 657, 473, 319, 107 |
235, 657, 43, 29, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 235 x 657 x 43 x 29 x 107 = 906433900020
Therefore, the lowest common multiple of 940,657,946,638,428 is 906433900020.
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.
940 x 657 x 946 x 638 x 428 = 159532366403520
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
657 : 1, 3, 9, 73, 219, 657
946 : 1, 2, 11, 22, 43, 86, 473, 946
638 : 1, 2, 11, 22, 29, 58, 319, 638
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,657,946,638,428, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
657:3x 3x 73
946:2x 11x 43
638:2x 11x 29
428:2x 2x 107
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 11 = 176
Therefore, the value for common factors is 176.
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 = 159532366403520/(1x176)
LCM = 159532366403520/176
LCM = 906433900020
Thus, we can understand that the LCM of 940,657,946,638,428 is 906433900020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 940, 657, 946, 638, 428?
Answer: LCM of 940, 657, 946, 638, 428 is 906433900020.
2. How to calculate the LCM of 940, 657, 946, 638, 428?
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 940, 657, 946, 638, 428.
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}.