Find the LCM of 112, 279, 412, 408, 553 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 112, 279, 412, 408, 553. So, keep reading to learn more.
Given numbers are 112,279,412,408,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,279,412,408,553 is 4322504592.
Find LCM of 112,279,412,408,553 with Prime Factorization
2 | 112, 279, 412, 408, 553 |
2 | 56, 279, 206, 204, 553 |
2 | 28, 279, 103, 102, 553 |
3 | 14, 279, 103, 51, 553 |
7 | 14, 93, 103, 17, 553 |
2, 93, 103, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 2 x 93 x 103 x 17 x 79 = 4322504592
Therefore, the lowest common multiple of 112,279,412,408,553 is 4322504592.
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.
112 x 279 x 412 x 408 x 553 = 2904723085824
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
279 : 1, 3, 9, 31, 93, 279
412 : 1, 2, 4, 103, 206, 412
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,279,412,408,553, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
279:3x 3x 31
412:2x 2x 103
408:2x 2x 2x 3x 17
553:7x 79
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 2904723085824/(1x672)
LCM = 2904723085824/672
LCM = 4322504592
Thus, we can understand that the LCM of 112,279,412,408,553 is 4322504592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 112, 279, 412, 408, 553?
Answer: LCM of 112, 279, 412, 408, 553 is 4322504592.
2. How to calculate the LCM of 112, 279, 412, 408, 553?
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 112, 279, 412, 408, 553.
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}.