LCM of 409, 714, 649, 581, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 714, 649, 581, 891 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 409, 714, 649, 581, 891. So, keep reading to learn more.
Given numbers are 409,714,649,581,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,714,649,581,891 is 424725242634.
Find LCM of 409,714,649,581,891 with Prime Factorization
| 3 | 409, 714, 649, 581, 891 |
| 7 | 409, 238, 649, 581, 297 |
| 11 | 409, 34, 649, 83, 297 |
| 409, 34, 59, 83, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 409 x 34 x 59 x 83 x 27 = 424725242634
Therefore, the lowest common multiple of 409,714,649,581,891 is 424725242634.
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.
409 x 714 x 649 x 581 x 891 = 98111531048454
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.
409 : 1, 409
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
649 : 1, 11, 59, 649
581 : 1, 7, 83, 581
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,714,649,581,891, is 1.
Now, the common factors can be found like this.
409:409
714:2x 3x 7x 17
649:11x 59
581:7x 83
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 98111531048454/(1x231)
LCM = 98111531048454/231
LCM = 424725242634
Thus, we can understand that the LCM of 409,714,649,581,891 is 424725242634.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 714, 649, 581, 891
1. What is the LCM of 409, 714, 649, 581, 891?
Answer: LCM of 409, 714, 649, 581, 891 is 424725242634.
2. How to calculate the LCM of 409, 714, 649, 581, 891?
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 409, 714, 649, 581, 891.
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}.