Find the LCM of 556, 758, 297, 520, 309 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 556, 758, 297, 520, 309. So, keep reading to learn more.
Given numbers are 556,758,297,520,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,758,297,520,309 is 838013524920.
Find LCM of 556,758,297,520,309 with Prime Factorization
2 | 556, 758, 297, 520, 309 |
2 | 278, 379, 297, 260, 309 |
3 | 139, 379, 297, 130, 309 |
139, 379, 99, 130, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 379 x 99 x 130 x 103 = 838013524920
Therefore, the lowest common multiple of 556,758,297,520,309 is 838013524920.
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.
556 x 758 x 297 x 520 x 309 = 20112324598080
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.
556 : 1, 2, 4, 139, 278, 556
758 : 1, 2, 379, 758
297 : 1, 3, 9, 11, 27, 33, 99, 297
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,758,297,520,309, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
758:2x 379
297:3x 3x 3x 11
520:2x 2x 2x 5x 13
309:3x 103
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 3 = 24
Therefore, the value for common factors is 24.
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 = 20112324598080/(1x24)
LCM = 20112324598080/24
LCM = 838013524920
Thus, we can understand that the LCM of 556,758,297,520,309 is 838013524920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 556, 758, 297, 520, 309?
Answer: LCM of 556, 758, 297, 520, 309 is 838013524920.
2. How to calculate the LCM of 556, 758, 297, 520, 309?
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 556, 758, 297, 520, 309.
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}.