Find the LCM of 314, 508, 538, 889 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 314, 508, 538, 889. So, keep reading to learn more.
Given numbers are 314,508,538,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,508,538,889 is 150180548.
Find LCM of 314,508,538,889 with Prime Factorization
2 | 314, 508, 538, 889 |
127 | 157, 254, 269, 889 |
157, 2, 269, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 157 x 2 x 269 x 7 = 150180548
Therefore, the lowest common multiple of 314,508,538,889 is 150180548.
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.
314 x 508 x 538 x 889 = 76291718384
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.
314 : 1, 2, 157, 314
508 : 1, 2, 4, 127, 254, 508
538 : 1, 2, 269, 538
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,508,538,889, is 1.
Now, the common factors can be found like this.
314:2x 157
508:2x 2x 127
538:2x 269
889:7x 127
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 127 = 508
Therefore, the value for common factors is 508.
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 = 76291718384/(1x508)
LCM = 76291718384/508
LCM = 150180548
Thus, we can understand that the LCM of 314,508,538,889 is 150180548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 508, 538, 889?
Answer: LCM of 314, 508, 538, 889 is 150180548.
2. How to calculate the LCM of 314, 508, 538, 889?
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 314, 508, 538, 889.
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}.