Find the LCM of 306, 692, 612, 556, 747 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 306, 692, 612, 556, 747. So, keep reading to learn more.
Given numbers are 306,692,612,556,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,692,612,556,747 is 1221491412.
Find LCM of 306,692,612,556,747 with Prime Factorization
2 | 306, 692, 612, 556, 747 |
2 | 153, 346, 306, 278, 747 |
3 | 153, 173, 153, 139, 747 |
3 | 51, 173, 51, 139, 249 |
17 | 17, 173, 17, 139, 83 |
1, 173, 1, 139, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 1 x 173 x 1 x 139 x 83 = 1221491412
Therefore, the lowest common multiple of 306,692,612,556,747 is 1221491412.
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.
306 x 692 x 612 x 556 x 747 = 53823797578368
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
692 : 1, 2, 4, 173, 346, 692
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
556 : 1, 2, 4, 139, 278, 556
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,692,612,556,747, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
692:2x 2x 173
612:2x 2x 3x 3x 17
556:2x 2x 139
747:3x 3x 83
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 3x 3x 3x 17 = 44064
Therefore, the value for common factors is 44064.
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 = 53823797578368/(1x44064)
LCM = 53823797578368/44064
LCM = 1221491412
Thus, we can understand that the LCM of 306,692,612,556,747 is 1221491412.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 306, 692, 612, 556, 747?
Answer: LCM of 306, 692, 612, 556, 747 is 1221491412.
2. How to calculate the LCM of 306, 692, 612, 556, 747?
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 306, 692, 612, 556, 747.
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}.