Find the LCM of 668, 819, 334, 765, 416 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, 819, 334, 765, 416. So, keep reading to learn more.
Given numbers are 668,819,334,765,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,819,334,765,416 is 372022560.
Find LCM of 668,819,334,765,416 with Prime Factorization
2 | 668, 819, 334, 765, 416 |
2 | 334, 819, 167, 765, 208 |
3 | 167, 819, 167, 765, 104 |
3 | 167, 273, 167, 255, 104 |
13 | 167, 91, 167, 85, 104 |
167 | 167, 7, 167, 85, 8 |
1, 7, 1, 85, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 167 x 1 x 7 x 1 x 85 x 8 = 372022560
Therefore, the lowest common multiple of 668,819,334,765,416 is 372022560.
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 819 x 334 x 765 x 416 = 58151590398720
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
334 : 1, 2, 167, 334
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,819,334,765,416, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
819:3x 3x 7x 13
334:2x 167
765:3x 3x 5x 17
416:2x 2x 2x 2x 2x 13
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 3x 3x 13x 167 = 156312
Therefore, the value for common factors is 156312.
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 = 58151590398720/(1x156312)
LCM = 58151590398720/156312
LCM = 372022560
Thus, we can understand that the LCM of 668,819,334,765,416 is 372022560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 819, 334, 765, 416?
Answer: LCM of 668, 819, 334, 765, 416 is 372022560.
2. How to calculate the LCM of 668, 819, 334, 765, 416?
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, 819, 334, 765, 416.
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}.