LCM of 724, 176, 480, 649, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 176, 480, 649, 632 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 724, 176, 480, 649, 632. So, keep reading to learn more.
Given numbers are 724,176,480,649,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,176,480,649,632 is 4454424480.
Find LCM of 724,176,480,649,632 with Prime Factorization
| 2 | 724, 176, 480, 649, 632 |
| 2 | 362, 88, 240, 649, 316 |
| 2 | 181, 44, 120, 649, 158 |
| 2 | 181, 22, 60, 649, 79 |
| 11 | 181, 11, 30, 649, 79 |
| 181, 1, 30, 59, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 181 x 1 x 30 x 59 x 79 = 4454424480
Therefore, the lowest common multiple of 724,176,480,649,632 is 4454424480.
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.
724 x 176 x 480 x 649 x 632 = 25087318671360
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.
724 : 1, 2, 4, 181, 362, 724
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
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
649 : 1, 11, 59, 649
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,176,480,649,632, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
176:2x 2x 2x 2x 11
480:2x 2x 2x 2x 2x 3x 5
649:11x 59
632:2x 2x 2x 79
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 2x 2x 2x 11 = 5632
Therefore, the value for common factors is 5632.
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 = 25087318671360/(1x5632)
LCM = 25087318671360/5632
LCM = 4454424480
Thus, we can understand that the LCM of 724,176,480,649,632 is 4454424480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 724, 176, 480, 649, 632
1. What is the LCM of 724, 176, 480, 649, 632?
Answer: LCM of 724, 176, 480, 649, 632 is 4454424480.
2. How to calculate the LCM of 724, 176, 480, 649, 632?
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 724, 176, 480, 649, 632.
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}.