Find the LCM of 938, 580, 572, 770, 687 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 938, 580, 572, 770, 687. So, keep reading to learn more.
Given numbers are 938,580,572,770,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,580,572,770,687 is 26723516820.
Find LCM of 938,580,572,770,687 with Prime Factorization
2 | 938, 580, 572, 770, 687 |
2 | 469, 290, 286, 385, 687 |
5 | 469, 145, 143, 385, 687 |
7 | 469, 29, 143, 77, 687 |
11 | 67, 29, 143, 11, 687 |
67, 29, 13, 1, 687 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 67 x 29 x 13 x 1 x 687 = 26723516820
Therefore, the lowest common multiple of 938,580,572,770,687 is 26723516820.
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.
938 x 580 x 572 x 770 x 687 = 164616863611200
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,580,572,770,687, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
580:2x 2x 5x 29
572:2x 2x 11x 13
770:2x 5x 7x 11
687:3x 229
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 5x 7x 11 = 6160
Therefore, the value for common factors is 6160.
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 = 164616863611200/(1x6160)
LCM = 164616863611200/6160
LCM = 26723516820
Thus, we can understand that the LCM of 938,580,572,770,687 is 26723516820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 938, 580, 572, 770, 687?
Answer: LCM of 938, 580, 572, 770, 687 is 26723516820.
2. How to calculate the LCM of 938, 580, 572, 770, 687?
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 938, 580, 572, 770, 687.
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}.