LCM of 949, 169, 312, 432, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 169, 312, 432, 648 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 949, 169, 312, 432, 648. So, keep reading to learn more.
Given numbers are 949,169,312,432,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,169,312,432,648 is 15988752.
Find LCM of 949,169,312,432,648 with Prime Factorization
| 2 | 949, 169, 312, 432, 648 |
| 2 | 949, 169, 156, 216, 324 |
| 2 | 949, 169, 78, 108, 162 |
| 3 | 949, 169, 39, 54, 81 |
| 3 | 949, 169, 13, 18, 27 |
| 3 | 949, 169, 13, 6, 9 |
| 13 | 949, 169, 13, 2, 3 |
| 73, 1, 13, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 13 x 73 x 1 x 13 x 2 x 3 = 15988752
Therefore, the lowest common multiple of 949,169,312,432,648 is 15988752.
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.
949 x 169 x 312 x 432 x 648 = 14007681672192
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.
949 : 1, 13, 73, 949
169 : 1, 13, 169
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,169,312,432,648, is 1.
Now, the common factors can be found like this.
949:13x 73
169:13x 13
312:2x 2x 2x 3x 13
432:2x 2x 2x 2x 3x 3x 3
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 2x 2x 3x 3x 3x 3x 13x 13 = 876096
Therefore, the value for common factors is 876096.
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 = 14007681672192/(1x876096)
LCM = 14007681672192/876096
LCM = 15988752
Thus, we can understand that the LCM of 949,169,312,432,648 is 15988752.
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FAQs on LCM of 949, 169, 312, 432, 648
1. What is the LCM of 949, 169, 312, 432, 648?
Answer: LCM of 949, 169, 312, 432, 648 is 15988752.
2. How to calculate the LCM of 949, 169, 312, 432, 648?
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 949, 169, 312, 432, 648.
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}.