LCM of 312, 384, 107, 549, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 384, 107, 549, 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 312, 384, 107, 549, 648. So, keep reading to learn more.
Given numbers are 312,384,107,549,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,384,107,549,648 is 879735168.
Find LCM of 312,384,107,549,648 with Prime Factorization
| 2 | 312, 384, 107, 549, 648 |
| 2 | 156, 192, 107, 549, 324 |
| 2 | 78, 96, 107, 549, 162 |
| 3 | 39, 48, 107, 549, 81 |
| 3 | 13, 16, 107, 183, 27 |
| 13, 16, 107, 61, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 16 x 107 x 61 x 9 = 879735168
Therefore, the lowest common multiple of 312,384,107,549,648 is 879735168.
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.
312 x 384 x 107 x 549 x 648 = 4560547110912
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
107 : 1, 107
549 : 1, 3, 9, 61, 183, 549
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 312,384,107,549,648, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
384:2x 2x 2x 2x 2x 2x 2x 3
107:107
549:3x 3x 61
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 3 = 5184
Therefore, the value for common factors is 5184.
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 = 4560547110912/(1x5184)
LCM = 4560547110912/5184
LCM = 879735168
Thus, we can understand that the LCM of 312,384,107,549,648 is 879735168.
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FAQs on LCM of 312, 384, 107, 549, 648
1. What is the LCM of 312, 384, 107, 549, 648?
Answer: LCM of 312, 384, 107, 549, 648 is 879735168.
2. How to calculate the LCM of 312, 384, 107, 549, 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 312, 384, 107, 549, 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}.