Find the LCM of 298, 787, 460, 623, 379 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, 787, 460, 623, 379. So, keep reading to learn more.
Given numbers are 298,787,460,623,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,787,460,623,379 is 12736382374660.
Find LCM of 298,787,460,623,379 with Prime Factorization
2 | 298, 787, 460, 623, 379 |
149, 787, 230, 623, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 787 x 230 x 623 x 379 = 12736382374660
Therefore, the lowest common multiple of 298,787,460,623,379 is 12736382374660.
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 787 x 460 x 623 x 379 = 25472764749320
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
787 : 1, 787
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
623 : 1, 7, 89, 623
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,787,460,623,379, is 1.
Now, the common factors can be found like this.
298:2x 149
787:787
460:2x 2x 5x 23
623:7x 89
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 25472764749320/(1x2)
LCM = 25472764749320/2
LCM = 12736382374660
Thus, we can understand that the LCM of 298,787,460,623,379 is 12736382374660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 787, 460, 623, 379?
Answer: LCM of 298, 787, 460, 623, 379 is 12736382374660.
2. How to calculate the LCM of 298, 787, 460, 623, 379?
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, 787, 460, 623, 379.
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}.