Find the LCM of 671, 724, 176, 411, 469 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 671, 724, 176, 411, 469. So, keep reading to learn more.
Given numbers are 671,724,176,411,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,724,176,411,469 is 374572372944.
Find LCM of 671,724,176,411,469 with Prime Factorization
2 | 671, 724, 176, 411, 469 |
2 | 671, 362, 88, 411, 469 |
11 | 671, 181, 44, 411, 469 |
61, 181, 4, 411, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 61 x 181 x 4 x 411 x 469 = 374572372944
Therefore, the lowest common multiple of 671,724,176,411,469 is 374572372944.
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.
671 x 724 x 176 x 411 x 469 = 16481184409536
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.
671 : 1, 11, 61, 671
724 : 1, 2, 4, 181, 362, 724
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
411 : 1, 3, 137, 411
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,724,176,411,469, is 1.
Now, the common factors can be found like this.
671:11x 61
724:2x 2x 181
176:2x 2x 2x 2x 11
411:3x 137
469:7x 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 2x 11 = 44
Therefore, the value for common factors is 44.
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 = 16481184409536/(1x44)
LCM = 16481184409536/44
LCM = 374572372944
Thus, we can understand that the LCM of 671,724,176,411,469 is 374572372944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 724, 176, 411, 469?
Answer: LCM of 671, 724, 176, 411, 469 is 374572372944.
2. How to calculate the LCM of 671, 724, 176, 411, 469?
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 671, 724, 176, 411, 469.
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}.