Find the LCM of 688, 677, 986, 319, 583 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 688, 677, 986, 319, 583. So, keep reading to learn more.
Given numbers are 688,677,986,319,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,677,986,319,583 is 133872872144.
Find LCM of 688,677,986,319,583 with Prime Factorization
2 | 688, 677, 986, 319, 583 |
11 | 344, 677, 493, 319, 583 |
29 | 344, 677, 493, 29, 53 |
344, 677, 17, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 344 x 677 x 17 x 1 x 53 = 133872872144
Therefore, the lowest common multiple of 688,677,986,319,583 is 133872872144.
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.
688 x 677 x 986 x 319 x 583 = 85410892427872
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
677 : 1, 677
986 : 1, 2, 17, 29, 34, 58, 493, 986
319 : 1, 11, 29, 319
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,677,986,319,583, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
677:677
986:2x 17x 29
319:11x 29
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 29 = 638
Therefore, the value for common factors is 638.
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 = 85410892427872/(1x638)
LCM = 85410892427872/638
LCM = 133872872144
Thus, we can understand that the LCM of 688,677,986,319,583 is 133872872144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 677, 986, 319, 583?
Answer: LCM of 688, 677, 986, 319, 583 is 133872872144.
2. How to calculate the LCM of 688, 677, 986, 319, 583?
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 688, 677, 986, 319, 583.
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}.