Find the LCM of 319, 302, 373, 264, 906 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 319, 302, 373, 264, 906. So, keep reading to learn more.
Given numbers are 319,302,373,264,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,302,373,264,906 is 431208888.
Find LCM of 319,302,373,264,906 with Prime Factorization
2 | 319, 302, 373, 264, 906 |
3 | 319, 151, 373, 132, 453 |
11 | 319, 151, 373, 44, 151 |
151 | 29, 151, 373, 4, 151 |
29, 1, 373, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 151 x 29 x 1 x 373 x 4 x 1 = 431208888
Therefore, the lowest common multiple of 319,302,373,264,906 is 431208888.
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.
319 x 302 x 373 x 264 x 906 = 8594855555616
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.
319 : 1, 11, 29, 319
302 : 1, 2, 151, 302
373 : 1, 373
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,302,373,264,906, is 1.
Now, the common factors can be found like this.
319:11x 29
302:2x 151
373:373
264:2x 2x 2x 3x 11
906:2x 3x 151
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 3x 11x 151 = 19932
Therefore, the value for common factors is 19932.
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 = 8594855555616/(1x19932)
LCM = 8594855555616/19932
LCM = 431208888
Thus, we can understand that the LCM of 319,302,373,264,906 is 431208888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 302, 373, 264, 906?
Answer: LCM of 319, 302, 373, 264, 906 is 431208888.
2. How to calculate the LCM of 319, 302, 373, 264, 906?
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 319, 302, 373, 264, 906.
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}.