Find the LCM of 240, 711, 605, 519, 363 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 240, 711, 605, 519, 363. So, keep reading to learn more.
Given numbers are 240,711,605,519,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,711,605,519,363 is 1190669040.
Find LCM of 240,711,605,519,363 with Prime Factorization
3 | 240, 711, 605, 519, 363 |
5 | 80, 237, 605, 173, 121 |
11 | 16, 237, 121, 173, 121 |
11 | 16, 237, 11, 173, 11 |
16, 237, 1, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 11 x 16 x 237 x 1 x 173 x 1 = 1190669040
Therefore, the lowest common multiple of 240,711,605,519,363 is 1190669040.
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.
240 x 711 x 605 x 519 x 363 = 19449578768400
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
711 : 1, 3, 9, 79, 237, 711
605 : 1, 5, 11, 55, 121, 605
519 : 1, 3, 173, 519
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,711,605,519,363, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
711:3x 3x 79
605:5x 11x 11
519:3x 173
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11x 11 = 16335
Therefore, the value for common factors is 16335.
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 = 19449578768400/(1x16335)
LCM = 19449578768400/16335
LCM = 1190669040
Thus, we can understand that the LCM of 240,711,605,519,363 is 1190669040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 711, 605, 519, 363?
Answer: LCM of 240, 711, 605, 519, 363 is 1190669040.
2. How to calculate the LCM of 240, 711, 605, 519, 363?
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 240, 711, 605, 519, 363.
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}.