LCM of 591, 897, 644, 446, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 897, 644, 446, 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 591, 897, 644, 446, 669. So, keep reading to learn more.
Given numbers are 591,897,644,446,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,897,644,446,669 is 1103370996.
Find LCM of 591,897,644,446,669 with Prime Factorization
| 2 | 591, 897, 644, 446, 669 |
| 3 | 591, 897, 322, 223, 669 |
| 23 | 197, 299, 322, 223, 223 |
| 223 | 197, 13, 14, 223, 223 |
| 197, 13, 14, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 223 x 197 x 13 x 14 x 1 x 1 = 1103370996
Therefore, the lowest common multiple of 591,897,644,446,669 is 1103370996.
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.
591 x 897 x 644 x 446 x 669 = 101865417092712
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.
591 : 1, 3, 197, 591
897 : 1, 3, 13, 23, 39, 69, 299, 897
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
446 : 1, 2, 223, 446
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,897,644,446,669, is 1.
Now, the common factors can be found like this.
591:3x 197
897:3x 13x 23
644:2x 2x 7x 23
446:2x 223
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 3x 3x 23x 223 = 92322
Therefore, the value for common factors is 92322.
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 = 101865417092712/(1x92322)
LCM = 101865417092712/92322
LCM = 1103370996
Thus, we can understand that the LCM of 591,897,644,446,669 is 1103370996.
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FAQs on LCM of 591, 897, 644, 446, 669
1. What is the LCM of 591, 897, 644, 446, 669?
Answer: LCM of 591, 897, 644, 446, 669 is 1103370996.
2. How to calculate the LCM of 591, 897, 644, 446, 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 591, 897, 644, 446, 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}.