Find the LCM of 279, 666, 356 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 279, 666, 356. So, keep reading to learn more.
Given numbers are 279,666,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,666,356 is 3674988.
Find LCM of 279,666,356 with Prime Factorization
2 | 279, 666, 356 |
3 | 279, 333, 178 |
3 | 93, 111, 178 |
31, 37, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 37 x 178 = 3674988
Therefore, the lowest common multiple of 279,666,356 is 3674988.
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.
279 x 666 x 356 = 66149784
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.
279 : 1, 3, 9, 31, 93, 279
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,666,356, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
666:2x 3x 3x 37
356:2x 2x 89
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 3 = 18
Therefore, the value for common factors is 18.
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 = 66149784/(1x18)
LCM = 66149784/18
LCM = 3674988
Thus, we can understand that the LCM of 279,666,356 is 3674988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 666, 356?
Answer: LCM of 279, 666, 356 is 3674988.
2. How to calculate the LCM of 279, 666, 356?
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 279, 666, 356.
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}.