Find the LCM of 869, 948, 553, 526, 298 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, 948, 553, 526, 298. So, keep reading to learn more.
Given numbers are 869,948,553,526,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,948,553,526,298 is 2860494252.
Find LCM of 869,948,553,526,298 with Prime Factorization
2 | 869, 948, 553, 526, 298 |
79 | 869, 474, 553, 263, 149 |
11, 6, 7, 263, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 11 x 6 x 7 x 263 x 149 = 2860494252
Therefore, the lowest common multiple of 869,948,553,526,298 is 2860494252.
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 948 x 553 x 526 x 298 = 71409378506928
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
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
553 : 1, 7, 79, 553
526 : 1, 2, 263, 526
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,948,553,526,298, is 1.
Now, the common factors can be found like this.
869:11x 79
948:2x 2x 3x 79
553:7x 79
526:2x 263
298:2x 149
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 79x 79 = 24964
Therefore, the value for common factors is 24964.
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 = 71409378506928/(1x24964)
LCM = 71409378506928/24964
LCM = 2860494252
Thus, we can understand that the LCM of 869,948,553,526,298 is 2860494252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 948, 553, 526, 298?
Answer: LCM of 869, 948, 553, 526, 298 is 2860494252.
2. How to calculate the LCM of 869, 948, 553, 526, 298?
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, 948, 553, 526, 298.
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}.