Find the LCM of 298, 749, 386, 511, 898 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 298, 749, 386, 511, 898. So, keep reading to learn more.
Given numbers are 298,749,386,511,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,749,386,511,898 is 1411967147122.
Find LCM of 298,749,386,511,898 with Prime Factorization
2 | 298, 749, 386, 511, 898 |
7 | 149, 749, 193, 511, 449 |
149, 107, 193, 73, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 149 x 107 x 193 x 73 x 449 = 1411967147122
Therefore, the lowest common multiple of 298,749,386,511,898 is 1411967147122.
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.
298 x 749 x 386 x 511 x 898 = 39535080119416
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.
298 : 1, 2, 149, 298
749 : 1, 7, 107, 749
386 : 1, 2, 193, 386
511 : 1, 7, 73, 511
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,749,386,511,898, is 1.
Now, the common factors can be found like this.
298:2x 149
749:7x 107
386:2x 193
511:7x 73
898:2x 449
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 7 = 28
Therefore, the value for common factors is 28.
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 = 39535080119416/(1x28)
LCM = 39535080119416/28
LCM = 1411967147122
Thus, we can understand that the LCM of 298,749,386,511,898 is 1411967147122.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 749, 386, 511, 898?
Answer: LCM of 298, 749, 386, 511, 898 is 1411967147122.
2. How to calculate the LCM of 298, 749, 386, 511, 898?
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 298, 749, 386, 511, 898.
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}.