Find the LCM of 654, 280, 406, 168, 522 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 654, 280, 406, 168, 522. So, keep reading to learn more.
Given numbers are 654,280,406,168,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,280,406,168,522 is 7965720.
Find LCM of 654,280,406,168,522 with Prime Factorization
2 | 654, 280, 406, 168, 522 |
2 | 327, 140, 203, 84, 261 |
2 | 327, 70, 203, 42, 261 |
3 | 327, 35, 203, 21, 261 |
7 | 109, 35, 203, 7, 87 |
29 | 109, 5, 29, 1, 87 |
109, 5, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 109 x 5 x 1 x 1 x 3 = 7965720
Therefore, the lowest common multiple of 654,280,406,168,522 is 7965720.
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.
654 x 280 x 406 x 168 x 522 = 6519909957120
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
406 : 1, 2, 7, 14, 29, 58, 203, 406
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,280,406,168,522, is 2.
Now, the common factors can be found like this.
654:2x 3x 109
280:2x 2x 2x 5x 7
406:2x 7x 29
168:2x 2x 2x 3x 7
522:2x 3x 3x 29
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 7x 7x 29 = 409248
Therefore, the value for common factors is 409248.
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 = 6519909957120/(2x409248)
LCM = 6519909957120/818496
LCM = 7965720
Thus, we can understand that the LCM of 654,280,406,168,522 is 7965720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 654, 280, 406, 168, 522?
Answer: LCM of 654, 280, 406, 168, 522 is 7965720.
2. How to calculate the LCM of 654, 280, 406, 168, 522?
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 654, 280, 406, 168, 522.
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}.