Find the LCM of 671, 751, 700, 906, 728 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, 751, 700, 906, 728. So, keep reading to learn more.
Given numbers are 671,751,700,906,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,751,700,906,728 is 4154627076600.
Find LCM of 671,751,700,906,728 with Prime Factorization
2 | 671, 751, 700, 906, 728 |
2 | 671, 751, 350, 453, 364 |
7 | 671, 751, 175, 453, 182 |
671, 751, 25, 453, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 671 x 751 x 25 x 453 x 26 = 4154627076600
Therefore, the lowest common multiple of 671,751,700,906,728 is 4154627076600.
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 751 x 700 x 906 x 728 = 232659116289600
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
751 : 1, 751
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
906 : 1, 2, 3, 6, 151, 302, 453, 906
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,751,700,906,728, is 1.
Now, the common factors can be found like this.
671:11x 61
751:751
700:2x 2x 5x 5x 7
906:2x 3x 151
728:2x 2x 2x 7x 13
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 7 = 56
Therefore, the value for common factors is 56.
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 = 232659116289600/(1x56)
LCM = 232659116289600/56
LCM = 4154627076600
Thus, we can understand that the LCM of 671,751,700,906,728 is 4154627076600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 751, 700, 906, 728?
Answer: LCM of 671, 751, 700, 906, 728 is 4154627076600.
2. How to calculate the LCM of 671, 751, 700, 906, 728?
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, 751, 700, 906, 728.
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}.