LCM of 671, 473, 945, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 473, 945, 605 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 671, 473, 945, 605. So, keep reading to learn more.
Given numbers are 671,473,945,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,473,945,605 is 299926935.
Find LCM of 671,473,945,605 with Prime Factorization
| 5 | 671, 473, 945, 605 |
| 11 | 671, 473, 189, 121 |
| 61, 43, 189, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 61 x 43 x 189 x 11 = 299926935
Therefore, the lowest common multiple of 671,473,945,605 is 299926935.
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.
671 x 473 x 945 x 605 = 181455795675
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.
671 : 1, 11, 61, 671
473 : 1, 11, 43, 473
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,473,945,605, is 1.
Now, the common factors can be found like this.
671:11x 61
473:11x 43
945:3x 3x 3x 5x 7
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 11 = 605
Therefore, the value for common factors is 605.
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 = 181455795675/(1x605)
LCM = 181455795675/605
LCM = 299926935
Thus, we can understand that the LCM of 671,473,945,605 is 299926935.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 473, 945, 605
1. What is the LCM of 671, 473, 945, 605?
Answer: LCM of 671, 473, 945, 605 is 299926935.
2. How to calculate the LCM of 671, 473, 945, 605?
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 671, 473, 945, 605.
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}.