Find the LCM of 1832, 6872 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 1832, 6872. So, keep reading to learn more.
Given numbers are 1832,6872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1832,6872 is 1573688.
Find LCM of 1832,6872 with Prime Factorization
| 2 | 1832, 6872 |
| 2 | 916, 3436 |
| 2 | 458, 1718 |
| 229, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 229 x 859 = 1573688
Therefore, the lowest common multiple of 1832,6872 is 1573688.
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.
1832 x 6872 = 12589504
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.
1832 : 1, 2, 4, 8, 229, 458, 916, 1832
6872 : 1, 2, 4, 8, 859, 1718, 3436, 6872
8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1832,6872, is 8.
Now, the common factors can be found like this.
1832:2x 2x 2x 229
6872:2x 2x 2x 859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 12589504/(8x1)
LCM = 12589504/8
LCM = 1573688
Thus, we can understand that the LCM of 1832,6872 is 1573688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1832, 6872?
Answer: LCM of 1832, 6872 is 1573688.
2. How to calculate the LCM of 1832, 6872?
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 1832, 6872.
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}.