Find the LCM of 869, 404, 526, 653, 748 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 869, 404, 526, 653, 748. So, keep reading to learn more.
Given numbers are 869,404,526,653,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,404,526,653,748 is 1024988499788.
Find LCM of 869,404,526,653,748 with Prime Factorization
2 | 869, 404, 526, 653, 748 |
2 | 869, 202, 263, 653, 374 |
11 | 869, 101, 263, 653, 187 |
79, 101, 263, 653, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 79 x 101 x 263 x 653 x 17 = 1024988499788
Therefore, the lowest common multiple of 869,404,526,653,748 is 1024988499788.
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.
869 x 404 x 526 x 653 x 748 = 90198987981344
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.
869 : 1, 11, 79, 869
404 : 1, 2, 4, 101, 202, 404
526 : 1, 2, 263, 526
653 : 1, 653
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,404,526,653,748, is 1.
Now, the common factors can be found like this.
869:11x 79
404:2x 2x 101
526:2x 263
653:653
748:2x 2x 11x 17
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 11 = 88
Therefore, the value for common factors is 88.
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 = 90198987981344/(1x88)
LCM = 90198987981344/88
LCM = 1024988499788
Thus, we can understand that the LCM of 869,404,526,653,748 is 1024988499788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 404, 526, 653, 748?
Answer: LCM of 869, 404, 526, 653, 748 is 1024988499788.
2. How to calculate the LCM of 869, 404, 526, 653, 748?
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 869, 404, 526, 653, 748.
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}.