LCM of 682, 575, 620, 148, 839
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 575, 620, 148, 839 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 682, 575, 620, 148, 839. So, keep reading to learn more.
Given numbers are 682,575,620,148,839
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,575,620,148,839 is 24347024900.
Find LCM of 682,575,620,148,839 with Prime Factorization
| 2 | 682, 575, 620, 148, 839 |
| 2 | 341, 575, 310, 74, 839 |
| 5 | 341, 575, 155, 37, 839 |
| 31 | 341, 115, 31, 37, 839 |
| 11, 115, 1, 37, 839 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 11 x 115 x 1 x 37 x 839 = 24347024900
Therefore, the lowest common multiple of 682,575,620,148,839 is 24347024900.
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.
682 x 575 x 620 x 148 x 839 = 30190310876000
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
575 : 1, 5, 23, 25, 115, 575
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
148 : 1, 2, 4, 37, 74, 148
839 : 1, 839
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,575,620,148,839, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
575:5x 5x 23
620:2x 2x 5x 31
148:2x 2x 37
839:839
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 5x 31 = 1240
Therefore, the value for common factors is 1240.
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 = 30190310876000/(1x1240)
LCM = 30190310876000/1240
LCM = 24347024900
Thus, we can understand that the LCM of 682,575,620,148,839 is 24347024900.
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FAQs on LCM of 682, 575, 620, 148, 839
1. What is the LCM of 682, 575, 620, 148, 839?
Answer: LCM of 682, 575, 620, 148, 839 is 24347024900.
2. How to calculate the LCM of 682, 575, 620, 148, 839?
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 682, 575, 620, 148, 839.
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}.