LCM of 630, 450, 309, 546, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 450, 309, 546, 727 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, 450, 309, 546, 727. So, keep reading to learn more.
Given numbers are 630,450,309,546,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,450,309,546,727 is 3066376950.
Find LCM of 630,450,309,546,727 with Prime Factorization
| 2 | 630, 450, 309, 546, 727 |
| 3 | 315, 225, 309, 273, 727 |
| 3 | 105, 75, 103, 91, 727 |
| 5 | 35, 25, 103, 91, 727 |
| 7 | 7, 5, 103, 91, 727 |
| 1, 5, 103, 13, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 1 x 5 x 103 x 13 x 727 = 3066376950
Therefore, the lowest common multiple of 630,450,309,546,727 is 3066376950.
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 450 x 309 x 546 x 727 = 34772714613000
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
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
309 : 1, 3, 103, 309
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,450,309,546,727, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
450:2x 3x 3x 5x 5
309:3x 103
546:2x 3x 7x 13
727:727
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 3x 3x 3x 5x 7 = 11340
Therefore, the value for common factors is 11340.
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 = 34772714613000/(1x11340)
LCM = 34772714613000/11340
LCM = 3066376950
Thus, we can understand that the LCM of 630,450,309,546,727 is 3066376950.
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FAQs on LCM of 630, 450, 309, 546, 727
1. What is the LCM of 630, 450, 309, 546, 727?
Answer: LCM of 630, 450, 309, 546, 727 is 3066376950.
2. How to calculate the LCM of 630, 450, 309, 546, 727?
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, 450, 309, 546, 727.
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}.