Find the LCM of 239, 999, 278, 444 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 239, 999, 278, 444. So, keep reading to learn more.
Given numbers are 239,999,278,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,999,278,444 is 132751116.
Find LCM of 239,999,278,444 with Prime Factorization
2 | 239, 999, 278, 444 |
3 | 239, 999, 139, 222 |
37 | 239, 333, 139, 74 |
239, 9, 139, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 239 x 9 x 139 x 2 = 132751116
Therefore, the lowest common multiple of 239,999,278,444 is 132751116.
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.
239 x 999 x 278 x 444 = 29470747752
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.
239 : 1, 239
999 : 1, 3, 9, 27, 37, 111, 333, 999
278 : 1, 2, 139, 278
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,999,278,444, is 1.
Now, the common factors can be found like this.
239:239
999:3x 3x 3x 37
278:2x 139
444:2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 29470747752/(1x222)
LCM = 29470747752/222
LCM = 132751116
Thus, we can understand that the LCM of 239,999,278,444 is 132751116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 239, 999, 278, 444?
Answer: LCM of 239, 999, 278, 444 is 132751116.
2. How to calculate the LCM of 239, 999, 278, 444?
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 239, 999, 278, 444.
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}.