Find the LCM of 510, 853, 671, 595, 710 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 510, 853, 671, 595, 710. So, keep reading to learn more.
Given numbers are 510,853,671,595,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,853,671,595,710 is 145076849610.
Find LCM of 510,853,671,595,710 with Prime Factorization
2 | 510, 853, 671, 595, 710 |
5 | 255, 853, 671, 595, 355 |
17 | 51, 853, 671, 119, 71 |
3, 853, 671, 7, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 3 x 853 x 671 x 7 x 71 = 145076849610
Therefore, the lowest common multiple of 510,853,671,595,710 is 145076849610.
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.
510 x 853 x 671 x 595 x 710 = 123315322168500
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
853 : 1, 853
671 : 1, 11, 61, 671
595 : 1, 5, 7, 17, 35, 85, 119, 595
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,853,671,595,710, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
853:853
671:11x 61
595:5x 7x 17
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 17 = 850
Therefore, the value for common factors is 850.
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 = 123315322168500/(1x850)
LCM = 123315322168500/850
LCM = 145076849610
Thus, we can understand that the LCM of 510,853,671,595,710 is 145076849610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 853, 671, 595, 710?
Answer: LCM of 510, 853, 671, 595, 710 is 145076849610.
2. How to calculate the LCM of 510, 853, 671, 595, 710?
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 510, 853, 671, 595, 710.
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}.