LCM of 630, 125, 721, 215, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 125, 721, 215, 529 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 630, 125, 721, 215, 529. So, keep reading to learn more.
Given numbers are 630,125,721,215,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,125,721,215,529 is 36901320750.
Find LCM of 630,125,721,215,529 with Prime Factorization
| 5 | 630, 125, 721, 215, 529 |
| 7 | 126, 25, 721, 43, 529 |
| 18, 25, 103, 43, 529 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 18 x 25 x 103 x 43 x 529 = 36901320750
Therefore, the lowest common multiple of 630,125,721,215,529 is 36901320750.
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.
630 x 125 x 721 x 215 x 529 = 6457731131250
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
125 : 1, 5, 25, 125
721 : 1, 7, 103, 721
215 : 1, 5, 43, 215
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,125,721,215,529, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
125:5x 5x 5
721:7x 103
215:5x 43
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 6457731131250/(1x175)
LCM = 6457731131250/175
LCM = 36901320750
Thus, we can understand that the LCM of 630,125,721,215,529 is 36901320750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 630, 125, 721, 215, 529
1. What is the LCM of 630, 125, 721, 215, 529?
Answer: LCM of 630, 125, 721, 215, 529 is 36901320750.
2. How to calculate the LCM of 630, 125, 721, 215, 529?
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 630, 125, 721, 215, 529.
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}.