Find the LCM of 485, 571, 612, 101, 402 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 485, 571, 612, 101, 402. So, keep reading to learn more.
Given numbers are 485,571,612,101,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,571,612,101,402 is 1146899716740.
Find LCM of 485,571,612,101,402 with Prime Factorization
2 | 485, 571, 612, 101, 402 |
3 | 485, 571, 306, 101, 201 |
485, 571, 102, 101, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 485 x 571 x 102 x 101 x 67 = 1146899716740
Therefore, the lowest common multiple of 485,571,612,101,402 is 1146899716740.
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.
485 x 571 x 612 x 101 x 402 = 6881398300440
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.
485 : 1, 5, 97, 485
571 : 1, 571
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
101 : 1, 101
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,571,612,101,402, is 1.
Now, the common factors can be found like this.
485:5x 97
571:571
612:2x 2x 3x 3x 17
101:101
402:2x 3x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 6881398300440/(1x6)
LCM = 6881398300440/6
LCM = 1146899716740
Thus, we can understand that the LCM of 485,571,612,101,402 is 1146899716740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 485, 571, 612, 101, 402?
Answer: LCM of 485, 571, 612, 101, 402 is 1146899716740.
2. How to calculate the LCM of 485, 571, 612, 101, 402?
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 485, 571, 612, 101, 402.
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}.