Find the LCM of 125, 875, 671, 749, 431 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 125, 875, 671, 749, 431. So, keep reading to learn more.
Given numbers are 125,875,671,749,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,875,671,749,431 is 27076443625.
Find LCM of 125,875,671,749,431 with Prime Factorization
5 | 125, 875, 671, 749, 431 |
5 | 25, 175, 671, 749, 431 |
5 | 5, 35, 671, 749, 431 |
7 | 1, 7, 671, 749, 431 |
1, 1, 671, 107, 431 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 5 x 7 x 1 x 1 x 671 x 107 x 431 = 27076443625
Therefore, the lowest common multiple of 125,875,671,749,431 is 27076443625.
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.
125 x 875 x 671 x 749 x 431 = 23691888171875
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.
125 : 1, 5, 25, 125
875 : 1, 5, 7, 25, 35, 125, 175, 875
671 : 1, 11, 61, 671
749 : 1, 7, 107, 749
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,875,671,749,431, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
875:5x 5x 5x 7
671:11x 61
749:7x 107
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 7 = 875
Therefore, the value for common factors is 875.
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 = 23691888171875/(1x875)
LCM = 23691888171875/875
LCM = 27076443625
Thus, we can understand that the LCM of 125,875,671,749,431 is 27076443625.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 125, 875, 671, 749, 431?
Answer: LCM of 125, 875, 671, 749, 431 is 27076443625.
2. How to calculate the LCM of 125, 875, 671, 749, 431?
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 125, 875, 671, 749, 431.
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}.