Find the LCM of 279, 724, 619, 164, 912 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, 724, 619, 164, 912. So, keep reading to learn more.
Given numbers are 279,724,619,164,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,724,619,164,912 is 389610692784.
Find LCM of 279,724,619,164,912 with Prime Factorization
2 | 279, 724, 619, 164, 912 |
2 | 279, 362, 619, 82, 456 |
3 | 279, 181, 619, 41, 228 |
93, 181, 619, 41, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 93 x 181 x 619 x 41 x 76 = 389610692784
Therefore, the lowest common multiple of 279,724,619,164,912 is 389610692784.
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 724 x 619 x 164 x 912 = 18701313253632
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
724 : 1, 2, 4, 181, 362, 724
619 : 1, 619
164 : 1, 2, 4, 41, 82, 164
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,724,619,164,912, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
724:2x 2x 181
619:619
164:2x 2x 41
912:2x 2x 2x 2x 3x 19
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 18701313253632/(1x48)
LCM = 18701313253632/48
LCM = 389610692784
Thus, we can understand that the LCM of 279,724,619,164,912 is 389610692784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 724, 619, 164, 912?
Answer: LCM of 279, 724, 619, 164, 912 is 389610692784.
2. How to calculate the LCM of 279, 724, 619, 164, 912?
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, 724, 619, 164, 912.
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}.