Find the LCM of 671, 937, 441, 407, 880 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, 937, 441, 407, 880. So, keep reading to learn more.
Given numbers are 671,937,441,407,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,937,441,407,880 is 820715076720.
Find LCM of 671,937,441,407,880 with Prime Factorization
11 | 671, 937, 441, 407, 880 |
61, 937, 441, 37, 80 |
Multiply the prime numbers at the bottom and the left side.
11 x 61 x 937 x 441 x 37 x 80 = 820715076720
Therefore, the lowest common multiple of 671,937,441,407,880 is 820715076720.
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 937 x 441 x 407 x 880 = 99306524283120
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
937 : 1, 937
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
407 : 1, 11, 37, 407
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,937,441,407,880, is 1.
Now, the common factors can be found like this.
671:11x 61
937:937
441:3x 3x 7x 7
407:11x 37
880:2x 2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 99306524283120/(1x121)
LCM = 99306524283120/121
LCM = 820715076720
Thus, we can understand that the LCM of 671,937,441,407,880 is 820715076720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 937, 441, 407, 880?
Answer: LCM of 671, 937, 441, 407, 880 is 820715076720.
2. How to calculate the LCM of 671, 937, 441, 407, 880?
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, 937, 441, 407, 880.
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}.