LCM of 512, 627, 660, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 627, 660, 721 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 512, 627, 660, 721. So, keep reading to learn more.
Given numbers are 512,627,660,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,627,660,721 is 1157291520.
Find LCM of 512,627,660,721 with Prime Factorization
| 2 | 512, 627, 660, 721 |
| 2 | 256, 627, 330, 721 |
| 3 | 128, 627, 165, 721 |
| 11 | 128, 209, 55, 721 |
| 128, 19, 5, 721 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 128 x 19 x 5 x 721 = 1157291520
Therefore, the lowest common multiple of 512,627,660,721 is 1157291520.
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.
512 x 627 x 660 x 721 = 152762480640
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
627 : 1, 3, 11, 19, 33, 57, 209, 627
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,627,660,721, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
627:3x 11x 19
660:2x 2x 3x 5x 11
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 152762480640/(1x132)
LCM = 152762480640/132
LCM = 1157291520
Thus, we can understand that the LCM of 512,627,660,721 is 1157291520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 512, 627, 660, 721
1. What is the LCM of 512, 627, 660, 721?
Answer: LCM of 512, 627, 660, 721 is 1157291520.
2. How to calculate the LCM of 512, 627, 660, 721?
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 512, 627, 660, 721.
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}.