Find the LCM of 654, 316, 480, 711, 664 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, 316, 480, 711, 664. So, keep reading to learn more.
Given numbers are 654,316,480,711,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,316,480,711,664 is 1029186720.
Find LCM of 654,316,480,711,664 with Prime Factorization
2 | 654, 316, 480, 711, 664 |
2 | 327, 158, 240, 711, 332 |
2 | 327, 79, 120, 711, 166 |
3 | 327, 79, 60, 711, 83 |
79 | 109, 79, 20, 237, 83 |
109, 1, 20, 3, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 79 x 109 x 1 x 20 x 3 x 83 = 1029186720
Therefore, the lowest common multiple of 654,316,480,711,664 is 1029186720.
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 316 x 480 x 711 x 664 = 46832112506880
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
316 : 1, 2, 4, 79, 158, 316
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
711 : 1, 3, 9, 79, 237, 711
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,316,480,711,664, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
316:2x 2x 79
480:2x 2x 2x 2x 2x 3x 5
711:3x 3x 79
664:2x 2x 2x 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 2x 3x 3x 79 = 45504
Therefore, the value for common factors is 45504.
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 = 46832112506880/(1x45504)
LCM = 46832112506880/45504
LCM = 1029186720
Thus, we can understand that the LCM of 654,316,480,711,664 is 1029186720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 654, 316, 480, 711, 664?
Answer: LCM of 654, 316, 480, 711, 664 is 1029186720.
2. How to calculate the LCM of 654, 316, 480, 711, 664?
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, 316, 480, 711, 664.
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}.