Find the LCM of 269, 220, 433, 542, 495 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, 220, 433, 542, 495. So, keep reading to learn more.
Given numbers are 269,220,433,542,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,220,433,542,495 is 62499228660.
Find LCM of 269,220,433,542,495 with Prime Factorization
2 | 269, 220, 433, 542, 495 |
5 | 269, 110, 433, 271, 495 |
11 | 269, 22, 433, 271, 99 |
269, 2, 433, 271, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 269 x 2 x 433 x 271 x 9 = 62499228660
Therefore, the lowest common multiple of 269,220,433,542,495 is 62499228660.
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 220 x 433 x 542 x 495 = 6874915152600
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
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
433 : 1, 433
542 : 1, 2, 271, 542
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,220,433,542,495, is 1.
Now, the common factors can be found like this.
269:269
220:2x 2x 5x 11
433:433
542:2x 271
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 6874915152600/(1x110)
LCM = 6874915152600/110
LCM = 62499228660
Thus, we can understand that the LCM of 269,220,433,542,495 is 62499228660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 269, 220, 433, 542, 495?
Answer: LCM of 269, 220, 433, 542, 495 is 62499228660.
2. How to calculate the LCM of 269, 220, 433, 542, 495?
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, 220, 433, 542, 495.
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}.