Find the LCM of 256, 279, 381, 692, 588 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 256, 279, 381, 692, 588. So, keep reading to learn more.
Given numbers are 256,279,381,692,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,279,381,692,588 is 76893578496.
Find LCM of 256,279,381,692,588 with Prime Factorization
2 | 256, 279, 381, 692, 588 |
2 | 128, 279, 381, 346, 294 |
3 | 64, 279, 381, 173, 147 |
64, 93, 127, 173, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 64 x 93 x 127 x 173 x 49 = 76893578496
Therefore, the lowest common multiple of 256,279,381,692,588 is 76893578496.
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.
256 x 279 x 381 x 692 x 588 = 11072675303424
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
279 : 1, 3, 9, 31, 93, 279
381 : 1, 3, 127, 381
692 : 1, 2, 4, 173, 346, 692
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,279,381,692,588, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
279:3x 3x 31
381:3x 127
692:2x 2x 173
588:2x 2x 3x 7x 7
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 11072675303424/(1x144)
LCM = 11072675303424/144
LCM = 76893578496
Thus, we can understand that the LCM of 256,279,381,692,588 is 76893578496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 256, 279, 381, 692, 588?
Answer: LCM of 256, 279, 381, 692, 588 is 76893578496.
2. How to calculate the LCM of 256, 279, 381, 692, 588?
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 256, 279, 381, 692, 588.
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}.