Find the LCM of 668, 381, 501, 306 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 668, 381, 501, 306. So, keep reading to learn more.
Given numbers are 668,381,501,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,381,501,306 is 12979908.
Find LCM of 668,381,501,306 with Prime Factorization
2 | 668, 381, 501, 306 |
3 | 334, 381, 501, 153 |
167 | 334, 127, 167, 51 |
2, 127, 1, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 167 x 2 x 127 x 1 x 51 = 12979908
Therefore, the lowest common multiple of 668,381,501,306 is 12979908.
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.
668 x 381 x 501 x 306 = 39017603448
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.
668 : 1, 2, 4, 167, 334, 668
381 : 1, 3, 127, 381
501 : 1, 3, 167, 501
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,381,501,306, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
381:3x 127
501:3x 167
306:2x 3x 3x 17
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 3x 167 = 3006
Therefore, the value for common factors is 3006.
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 = 39017603448/(1x3006)
LCM = 39017603448/3006
LCM = 12979908
Thus, we can understand that the LCM of 668,381,501,306 is 12979908.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 381, 501, 306?
Answer: LCM of 668, 381, 501, 306 is 12979908.
2. How to calculate the LCM of 668, 381, 501, 306?
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 668, 381, 501, 306.
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}.