Find the LCM of 517, 390, 175, 845, 126 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 517, 390, 175, 845, 126. So, keep reading to learn more.
Given numbers are 517,390,175,845,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,390,175,845,126 is 275224950.
Find LCM of 517,390,175,845,126 with Prime Factorization
2 | 517, 390, 175, 845, 126 |
3 | 517, 195, 175, 845, 63 |
5 | 517, 65, 175, 845, 21 |
7 | 517, 13, 35, 169, 21 |
13 | 517, 13, 5, 169, 3 |
517, 1, 5, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 517 x 1 x 5 x 13 x 3 = 275224950
Therefore, the lowest common multiple of 517,390,175,845,126 is 275224950.
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.
517 x 390 x 175 x 845 x 126 = 3756820567500
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.
517 : 1, 11, 47, 517
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
175 : 1, 5, 7, 25, 35, 175
845 : 1, 5, 13, 65, 169, 845
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,390,175,845,126, is 1.
Now, the common factors can be found like this.
517:11x 47
390:2x 3x 5x 13
175:5x 5x 7
845:5x 13x 13
126:2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 7x 13 = 13650
Therefore, the value for common factors is 13650.
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 = 3756820567500/(1x13650)
LCM = 3756820567500/13650
LCM = 275224950
Thus, we can understand that the LCM of 517,390,175,845,126 is 275224950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 390, 175, 845, 126?
Answer: LCM of 517, 390, 175, 845, 126 is 275224950.
2. How to calculate the LCM of 517, 390, 175, 845, 126?
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 517, 390, 175, 845, 126.
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}.