LCM of 654, 148, 637, 416, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 148, 637, 416, 724 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, 148, 637, 416, 724. So, keep reading to learn more.
Given numbers are 654,148,637,416,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,148,637,416,724 is 44639308896.
Find LCM of 654,148,637,416,724 with Prime Factorization
| 2 | 654, 148, 637, 416, 724 |
| 2 | 327, 74, 637, 208, 362 |
| 13 | 327, 37, 637, 104, 181 |
| 327, 37, 49, 8, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 327 x 37 x 49 x 8 x 181 = 44639308896
Therefore, the lowest common multiple of 654,148,637,416,724 is 44639308896.
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 148 x 637 x 416 x 724 = 18569952500736
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
148 : 1, 2, 4, 37, 74, 148
637 : 1, 7, 13, 49, 91, 637
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,148,637,416,724, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
148:2x 2x 37
637:7x 7x 13
416:2x 2x 2x 2x 2x 13
724:2x 2x 181
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 13 = 416
Therefore, the value for common factors is 416.
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 = 18569952500736/(1x416)
LCM = 18569952500736/416
LCM = 44639308896
Thus, we can understand that the LCM of 654,148,637,416,724 is 44639308896.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 654, 148, 637, 416, 724
1. What is the LCM of 654, 148, 637, 416, 724?
Answer: LCM of 654, 148, 637, 416, 724 is 44639308896.
2. How to calculate the LCM of 654, 148, 637, 416, 724?
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, 148, 637, 416, 724.
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}.