Find the LCM of 670, 938, 102, 884, 926 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 670, 938, 102, 884, 926. So, keep reading to learn more.
Given numbers are 670,938,102,884,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,938,102,884,926 is 2879369220.
Find LCM of 670,938,102,884,926 with Prime Factorization
2 | 670, 938, 102, 884, 926 |
17 | 335, 469, 51, 442, 463 |
67 | 335, 469, 3, 26, 463 |
5, 7, 3, 26, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 67 x 5 x 7 x 3 x 26 x 463 = 2879369220
Therefore, the lowest common multiple of 670,938,102,884,926 is 2879369220.
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.
670 x 938 x 102 x 884 x 926 = 52473624665280
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
938 : 1, 2, 7, 14, 67, 134, 469, 938
102 : 1, 2, 3, 6, 17, 34, 51, 102
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
926 : 1, 2, 463, 926
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,938,102,884,926, is 2.
Now, the common factors can be found like this.
670:2x 5x 67
938:2x 7x 67
102:2x 3x 17
884:2x 2x 13x 17
926:2x 463
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 17x 67 = 9112
Therefore, the value for common factors is 9112.
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 = 52473624665280/(2x9112)
LCM = 52473624665280/18224
LCM = 2879369220
Thus, we can understand that the LCM of 670,938,102,884,926 is 2879369220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 938, 102, 884, 926?
Answer: LCM of 670, 938, 102, 884, 926 is 2879369220.
2. How to calculate the LCM of 670, 938, 102, 884, 926?
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 670, 938, 102, 884, 926.
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}.