Find the LCM of 984, 306, 969, 474, 536 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 984, 306, 969, 474, 536. So, keep reading to learn more.
Given numbers are 984,306,969,474,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,306,969,474,536 is 5046854328.
Find LCM of 984,306,969,474,536 with Prime Factorization
2 | 984, 306, 969, 474, 536 |
2 | 492, 153, 969, 237, 268 |
2 | 246, 153, 969, 237, 134 |
3 | 123, 153, 969, 237, 67 |
17 | 41, 51, 323, 79, 67 |
41, 3, 19, 79, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 41 x 3 x 19 x 79 x 67 = 5046854328
Therefore, the lowest common multiple of 984,306,969,474,536 is 5046854328.
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.
984 x 306 x 969 x 474 x 536 = 74128196369664
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
969 : 1, 3, 17, 19, 51, 57, 323, 969
474 : 1, 2, 3, 6, 79, 158, 237, 474
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,306,969,474,536, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
306:2x 3x 3x 17
969:3x 17x 19
474:2x 3x 79
536:2x 2x 2x 67
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 17 = 14688
Therefore, the value for common factors is 14688.
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 = 74128196369664/(1x14688)
LCM = 74128196369664/14688
LCM = 5046854328
Thus, we can understand that the LCM of 984,306,969,474,536 is 5046854328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 984, 306, 969, 474, 536?
Answer: LCM of 984, 306, 969, 474, 536 is 5046854328.
2. How to calculate the LCM of 984, 306, 969, 474, 536?
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 984, 306, 969, 474, 536.
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}.