Find the LCM of 268, 624, 143, 608 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 268, 624, 143, 608. So, keep reading to learn more.
Given numbers are 268,624,143,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,624,143,608 is 17475744.
Find LCM of 268,624,143,608 with Prime Factorization
2 | 268, 624, 143, 608 |
2 | 134, 312, 143, 304 |
2 | 67, 156, 143, 152 |
2 | 67, 78, 143, 76 |
13 | 67, 39, 143, 38 |
67, 3, 11, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 67 x 3 x 11 x 38 = 17475744
Therefore, the lowest common multiple of 268,624,143,608 is 17475744.
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.
268 x 624 x 143 x 608 = 14539819008
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.
268 : 1, 2, 4, 67, 134, 268
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
143 : 1, 11, 13, 143
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,624,143,608, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
624:2x 2x 2x 2x 3x 13
143:11x 13
608:2x 2x 2x 2x 2x 19
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 13 = 832
Therefore, the value for common factors is 832.
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 = 14539819008/(1x832)
LCM = 14539819008/832
LCM = 17475744
Thus, we can understand that the LCM of 268,624,143,608 is 17475744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 624, 143, 608?
Answer: LCM of 268, 624, 143, 608 is 17475744.
2. How to calculate the LCM of 268, 624, 143, 608?
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 268, 624, 143, 608.
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}.