Find the LCM of 444, 667, 492, 322, 690 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 444, 667, 492, 322, 690. So, keep reading to learn more.
Given numbers are 444,667,492,322,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,667,492,322,690 is 424972380.
Find LCM of 444,667,492,322,690 with Prime Factorization
2 | 444, 667, 492, 322, 690 |
2 | 222, 667, 246, 161, 345 |
3 | 111, 667, 123, 161, 345 |
23 | 37, 667, 41, 161, 115 |
37, 29, 41, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 37 x 29 x 41 x 7 x 5 = 424972380
Therefore, the lowest common multiple of 444,667,492,322,690 is 424972380.
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.
444 x 667 x 492 x 322 x 690 = 32372696018880
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
667 : 1, 23, 29, 667
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
322 : 1, 2, 7, 14, 23, 46, 161, 322
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,667,492,322,690, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
667:23x 29
492:2x 2x 3x 41
322:2x 7x 23
690:2x 3x 5x 23
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 3x 23x 23 = 76176
Therefore, the value for common factors is 76176.
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 = 32372696018880/(1x76176)
LCM = 32372696018880/76176
LCM = 424972380
Thus, we can understand that the LCM of 444,667,492,322,690 is 424972380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 444, 667, 492, 322, 690?
Answer: LCM of 444, 667, 492, 322, 690 is 424972380.
2. How to calculate the LCM of 444, 667, 492, 322, 690?
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 444, 667, 492, 322, 690.
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}.