Find the LCM of 291, 132, 668, 600, 638 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 291, 132, 668, 600, 638. So, keep reading to learn more.
Given numbers are 291,132,668,600,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,132,668,600,638 is 3100488600.
Find LCM of 291,132,668,600,638 with Prime Factorization
2 | 291, 132, 668, 600, 638 |
2 | 291, 66, 334, 300, 319 |
3 | 291, 33, 167, 150, 319 |
11 | 97, 11, 167, 50, 319 |
97, 1, 167, 50, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 97 x 1 x 167 x 50 x 29 = 3100488600
Therefore, the lowest common multiple of 291,132,668,600,638 is 3100488600.
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.
291 x 132 x 668 x 600 x 638 = 9822347884800
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.
291 : 1, 3, 97, 291
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
668 : 1, 2, 4, 167, 334, 668
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,132,668,600,638, is 1.
Now, the common factors can be found like this.
291:3x 97
132:2x 2x 3x 11
668:2x 2x 167
600:2x 2x 2x 3x 5x 5
638:2x 11x 29
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 2x 3x 3x 11 = 3168
Therefore, the value for common factors is 3168.
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 = 9822347884800/(1x3168)
LCM = 9822347884800/3168
LCM = 3100488600
Thus, we can understand that the LCM of 291,132,668,600,638 is 3100488600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 291, 132, 668, 600, 638?
Answer: LCM of 291, 132, 668, 600, 638 is 3100488600.
2. How to calculate the LCM of 291, 132, 668, 600, 638?
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 291, 132, 668, 600, 638.
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}.