LCM of 669, 320, 892, 323, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 320, 892, 323, 612 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 669, 320, 892, 323, 612. So, keep reading to learn more.
Given numbers are 669,320,892,323,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,320,892,323,612 is 207443520.
Find LCM of 669,320,892,323,612 with Prime Factorization
| 2 | 669, 320, 892, 323, 612 |
| 2 | 669, 160, 446, 323, 306 |
| 3 | 669, 80, 223, 323, 153 |
| 17 | 223, 80, 223, 323, 51 |
| 223 | 223, 80, 223, 19, 3 |
| 1, 80, 1, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 223 x 1 x 80 x 1 x 19 x 3 = 207443520
Therefore, the lowest common multiple of 669,320,892,323,612 is 207443520.
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.
669 x 320 x 892 x 323 x 612 = 37748082447360
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.
669 : 1, 3, 223, 669
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
892 : 1, 2, 4, 223, 446, 892
323 : 1, 17, 19, 323
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,320,892,323,612, is 1.
Now, the common factors can be found like this.
669:3x 223
320:2x 2x 2x 2x 2x 2x 5
892:2x 2x 223
323:17x 19
612:2x 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 2x 2x 2x 3x 17x 223 = 181968
Therefore, the value for common factors is 181968.
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 = 37748082447360/(1x181968)
LCM = 37748082447360/181968
LCM = 207443520
Thus, we can understand that the LCM of 669,320,892,323,612 is 207443520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 669, 320, 892, 323, 612
1. What is the LCM of 669, 320, 892, 323, 612?
Answer: LCM of 669, 320, 892, 323, 612 is 207443520.
2. How to calculate the LCM of 669, 320, 892, 323, 612?
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 669, 320, 892, 323, 612.
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}.