LCM of 469, 707, 899, 709, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 707, 899, 709, 677 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 469, 707, 899, 709, 677. So, keep reading to learn more.
Given numbers are 469,707,899,709,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,707,899,709,677 is 20440372786883.
Find LCM of 469,707,899,709,677 with Prime Factorization
| 7 | 469, 707, 899, 709, 677 |
| 67, 101, 899, 709, 677 |
Multiply the prime numbers at the bottom and the left side.
7 x 67 x 101 x 899 x 709 x 677 = 20440372786883
Therefore, the lowest common multiple of 469,707,899,709,677 is 20440372786883.
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.
469 x 707 x 899 x 709 x 677 = 143082609508181
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.
469 : 1, 7, 67, 469
707 : 1, 7, 101, 707
899 : 1, 29, 31, 899
709 : 1, 709
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,707,899,709,677, is 1.
Now, the common factors can be found like this.
469:7x 67
707:7x 101
899:29x 31
709:709
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 143082609508181/(1x7)
LCM = 143082609508181/7
LCM = 20440372786883
Thus, we can understand that the LCM of 469,707,899,709,677 is 20440372786883.
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FAQs on LCM of 469, 707, 899, 709, 677
1. What is the LCM of 469, 707, 899, 709, 677?
Answer: LCM of 469, 707, 899, 709, 677 is 20440372786883.
2. How to calculate the LCM of 469, 707, 899, 709, 677?
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 469, 707, 899, 709, 677.
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}.