Find the LCM of 269, 408, 340, 202, 606 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 269, 408, 340, 202, 606. So, keep reading to learn more.
Given numbers are 269,408,340,202,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,408,340,202,606 is 55424760.
Find LCM of 269,408,340,202,606 with Prime Factorization
2 | 269, 408, 340, 202, 606 |
2 | 269, 204, 170, 101, 303 |
3 | 269, 102, 85, 101, 303 |
17 | 269, 34, 85, 101, 101 |
101 | 269, 2, 5, 101, 101 |
269, 2, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 101 x 269 x 2 x 5 x 1 x 1 = 55424760
Therefore, the lowest common multiple of 269,408,340,202,606 is 55424760.
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.
269 x 408 x 340 x 202 x 606 = 4567887020160
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.
269 : 1, 269
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
202 : 1, 2, 101, 202
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,408,340,202,606, is 1.
Now, the common factors can be found like this.
269:269
408:2x 2x 2x 3x 17
340:2x 2x 5x 17
202:2x 101
606:2x 3x 101
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 17x 101 = 82416
Therefore, the value for common factors is 82416.
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 = 4567887020160/(1x82416)
LCM = 4567887020160/82416
LCM = 55424760
Thus, we can understand that the LCM of 269,408,340,202,606 is 55424760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 408, 340, 202, 606?
Answer: LCM of 269, 408, 340, 202, 606 is 55424760.
2. How to calculate the LCM of 269, 408, 340, 202, 606?
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 269, 408, 340, 202, 606.
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}.