LCM of 279, 538, 256, 884, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 538, 256, 884, 136 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 279, 538, 256, 884, 136. So, keep reading to learn more.
Given numbers are 279,538,256,884,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,538,256,884,136 is 4246085376.
Find LCM of 279,538,256,884,136 with Prime Factorization
| 2 | 279, 538, 256, 884, 136 |
| 2 | 279, 269, 128, 442, 68 |
| 2 | 279, 269, 64, 221, 34 |
| 17 | 279, 269, 32, 221, 17 |
| 279, 269, 32, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 279 x 269 x 32 x 13 x 1 = 4246085376
Therefore, the lowest common multiple of 279,538,256,884,136 is 4246085376.
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.
279 x 538 x 256 x 884 x 136 = 4619740889088
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.
279 : 1, 3, 9, 31, 93, 279
538 : 1, 2, 269, 538
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,538,256,884,136, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
538:2x 269
256:2x 2x 2x 2x 2x 2x 2x 2
884:2x 2x 13x 17
136:2x 2x 2x 17
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 17 = 1088
Therefore, the value for common factors is 1088.
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 = 4619740889088/(1x1088)
LCM = 4619740889088/1088
LCM = 4246085376
Thus, we can understand that the LCM of 279,538,256,884,136 is 4246085376.
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FAQs on LCM of 279, 538, 256, 884, 136
1. What is the LCM of 279, 538, 256, 884, 136?
Answer: LCM of 279, 538, 256, 884, 136 is 4246085376.
2. How to calculate the LCM of 279, 538, 256, 884, 136?
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 279, 538, 256, 884, 136.
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}.