Find the LCM of 513, 751, 756, 426, 345 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 513, 751, 756, 426, 345. So, keep reading to learn more.
Given numbers are 513,751,756,426,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,751,756,426,345 is 88078827060.
Find LCM of 513,751,756,426,345 with Prime Factorization
2 | 513, 751, 756, 426, 345 |
3 | 513, 751, 378, 213, 345 |
3 | 171, 751, 126, 71, 115 |
3 | 57, 751, 42, 71, 115 |
19, 751, 14, 71, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 751 x 14 x 71 x 115 = 88078827060
Therefore, the lowest common multiple of 513,751,756,426,345 is 88078827060.
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.
513 x 751 x 756 x 426 x 345 = 42806309951160
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
751 : 1, 751
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
426 : 1, 2, 3, 6, 71, 142, 213, 426
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,751,756,426,345, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
751:751
756:2x 2x 3x 3x 3x 7
426:2x 3x 71
345:3x 5x 23
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 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 42806309951160/(1x486)
LCM = 42806309951160/486
LCM = 88078827060
Thus, we can understand that the LCM of 513,751,756,426,345 is 88078827060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 751, 756, 426, 345?
Answer: LCM of 513, 751, 756, 426, 345 is 88078827060.
2. How to calculate the LCM of 513, 751, 756, 426, 345?
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 513, 751, 756, 426, 345.
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}.