LCM of 724, 384, 216, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 384, 216, 279 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 724, 384, 216, 279. So, keep reading to learn more.
Given numbers are 724,384,216,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,384,216,279 is 19391616.
Find LCM of 724,384,216,279 with Prime Factorization
| 2 | 724, 384, 216, 279 |
| 2 | 362, 192, 108, 279 |
| 2 | 181, 96, 54, 279 |
| 3 | 181, 48, 27, 279 |
| 3 | 181, 16, 9, 93 |
| 181, 16, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 181 x 16 x 3 x 31 = 19391616
Therefore, the lowest common multiple of 724,384,216,279 is 19391616.
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.
724 x 384 x 216 x 279 = 16754356224
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.
724 : 1, 2, 4, 181, 362, 724
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,384,216,279, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
384:2x 2x 2x 2x 2x 2x 2x 3
216:2x 2x 2x 3x 3x 3
279:3x 3x 31
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 16754356224/(1x864)
LCM = 16754356224/864
LCM = 19391616
Thus, we can understand that the LCM of 724,384,216,279 is 19391616.
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FAQs on LCM of 724, 384, 216, 279
1. What is the LCM of 724, 384, 216, 279?
Answer: LCM of 724, 384, 216, 279 is 19391616.
2. How to calculate the LCM of 724, 384, 216, 279?
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 724, 384, 216, 279.
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}.