Find the LCM of 473, 457, 667, 294, 189 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 473, 457, 667, 294, 189. So, keep reading to learn more.
Given numbers are 473,457,667,294,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,457,667,294,189 is 381498658002.
Find LCM of 473,457,667,294,189 with Prime Factorization
3 | 473, 457, 667, 294, 189 |
7 | 473, 457, 667, 98, 63 |
473, 457, 667, 14, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 473 x 457 x 667 x 14 x 9 = 381498658002
Therefore, the lowest common multiple of 473,457,667,294,189 is 381498658002.
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.
473 x 457 x 667 x 294 x 189 = 8011471818042
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.
473 : 1, 11, 43, 473
457 : 1, 457
667 : 1, 23, 29, 667
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,457,667,294,189, is 1.
Now, the common factors can be found like this.
473:11x 43
457:457
667:23x 29
294:2x 3x 7x 7
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 8011471818042/(1x21)
LCM = 8011471818042/21
LCM = 381498658002
Thus, we can understand that the LCM of 473,457,667,294,189 is 381498658002.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 457, 667, 294, 189?
Answer: LCM of 473, 457, 667, 294, 189 is 381498658002.
2. How to calculate the LCM of 473, 457, 667, 294, 189?
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 473, 457, 667, 294, 189.
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}.