Find the LCM of 512, 756, 141, 913, 279 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 512, 756, 141, 913, 279. So, keep reading to learn more.
Given numbers are 512,756,141,913,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,756,141,913,279 is 128724761088.
Find LCM of 512,756,141,913,279 with Prime Factorization
2 | 512, 756, 141, 913, 279 |
2 | 256, 378, 141, 913, 279 |
3 | 128, 189, 141, 913, 279 |
3 | 128, 63, 47, 913, 93 |
128, 21, 47, 913, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 128 x 21 x 47 x 913 x 31 = 128724761088
Therefore, the lowest common multiple of 512,756,141,913,279 is 128724761088.
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.
512 x 756 x 141 x 913 x 279 = 13902274197504
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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
141 : 1, 3, 47, 141
913 : 1, 11, 83, 913
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,756,141,913,279, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
756:2x 2x 3x 3x 3x 7
141:3x 47
913:11x 83
279:3x 3x 31
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 13902274197504/(1x108)
LCM = 13902274197504/108
LCM = 128724761088
Thus, we can understand that the LCM of 512,756,141,913,279 is 128724761088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 756, 141, 913, 279?
Answer: LCM of 512, 756, 141, 913, 279 is 128724761088.
2. How to calculate the LCM of 512, 756, 141, 913, 279?
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 512, 756, 141, 913, 279.
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}.