Find the LCM of 240, 559, 968, 278 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, 559, 968, 278. So, keep reading to learn more.
Given numbers are 240,559,968,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,559,968,278 is 2256437040.
Find LCM of 240,559,968,278 with Prime Factorization
2 | 240, 559, 968, 278 |
2 | 120, 559, 484, 139 |
2 | 60, 559, 242, 139 |
30, 559, 121, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 30 x 559 x 121 x 139 = 2256437040
Therefore, the lowest common multiple of 240,559,968,278 is 2256437040.
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 559 x 968 x 278 = 36102992640
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
559 : 1, 13, 43, 559
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,559,968,278, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
559:13x 43
968:2x 2x 2x 11x 11
278:2x 139
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 2 = 16
Therefore, the value for common factors is 16.
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 = 36102992640/(1x16)
LCM = 36102992640/16
LCM = 2256437040
Thus, we can understand that the LCM of 240,559,968,278 is 2256437040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 559, 968, 278?
Answer: LCM of 240, 559, 968, 278 is 2256437040.
2. How to calculate the LCM of 240, 559, 968, 278?
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, 559, 968, 278.
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}.