LCM of 721, 409, 621, 138, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 409, 621, 138, 297 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 721, 409, 621, 138, 297. So, keep reading to learn more.
Given numbers are 721,409,621,138,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,409,621,138,297 is 4028773518.
Find LCM of 721,409,621,138,297 with Prime Factorization
| 3 | 721, 409, 621, 138, 297 |
| 3 | 721, 409, 207, 46, 99 |
| 3 | 721, 409, 69, 46, 33 |
| 23 | 721, 409, 23, 46, 11 |
| 721, 409, 1, 2, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 23 x 721 x 409 x 1 x 2 x 11 = 4028773518
Therefore, the lowest common multiple of 721,409,621,138,297 is 4028773518.
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.
721 x 409 x 621 x 138 x 297 = 7505605064034
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.
721 : 1, 7, 103, 721
409 : 1, 409
621 : 1, 3, 9, 23, 27, 69, 207, 621
138 : 1, 2, 3, 6, 23, 46, 69, 138
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,409,621,138,297, is 1.
Now, the common factors can be found like this.
721:7x 103
409:409
621:3x 3x 3x 23
138:2x 3x 23
297:3x 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 3x 3x 3x 23 = 1863
Therefore, the value for common factors is 1863.
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 = 7505605064034/(1x1863)
LCM = 7505605064034/1863
LCM = 4028773518
Thus, we can understand that the LCM of 721,409,621,138,297 is 4028773518.
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FAQs on LCM of 721, 409, 621, 138, 297
1. What is the LCM of 721, 409, 621, 138, 297?
Answer: LCM of 721, 409, 621, 138, 297 is 4028773518.
2. How to calculate the LCM of 721, 409, 621, 138, 297?
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 721, 409, 621, 138, 297.
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}.