Find the LCM of 723, 370, 198, 192, 669 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 723, 370, 198, 192, 669. So, keep reading to learn more.
Given numbers are 723,370,198,192,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,370,198,192,669 is 62995394880.
Find LCM of 723,370,198,192,669 with Prime Factorization
2 | 723, 370, 198, 192, 669 |
3 | 723, 185, 99, 96, 669 |
241, 185, 33, 32, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 241 x 185 x 33 x 32 x 223 = 62995394880
Therefore, the lowest common multiple of 723,370,198,192,669 is 62995394880.
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.
723 x 370 x 198 x 192 x 669 = 6803502647040
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.
723 : 1, 3, 241, 723
370 : 1, 2, 5, 10, 37, 74, 185, 370
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,370,198,192,669, is 1.
Now, the common factors can be found like this.
723:3x 241
370:2x 5x 37
198:2x 3x 3x 11
192:2x 2x 2x 2x 2x 2x 3
669:3x 223
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 6803502647040/(1x108)
LCM = 6803502647040/108
LCM = 62995394880
Thus, we can understand that the LCM of 723,370,198,192,669 is 62995394880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 370, 198, 192, 669?
Answer: LCM of 723, 370, 198, 192, 669 is 62995394880.
2. How to calculate the LCM of 723, 370, 198, 192, 669?
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 723, 370, 198, 192, 669.
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}.