Find the LCM of 434, 271, 243, 342, 762 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 434, 271, 243, 342, 762. So, keep reading to learn more.
Given numbers are 434,271,243,342,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,271,243,342,762 is 68964027426.
Find LCM of 434,271,243,342,762 with Prime Factorization
2 | 434, 271, 243, 342, 762 |
3 | 217, 271, 243, 171, 381 |
3 | 217, 271, 81, 57, 127 |
217, 271, 27, 19, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 217 x 271 x 27 x 19 x 127 = 68964027426
Therefore, the lowest common multiple of 434,271,243,342,762 is 68964027426.
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.
434 x 271 x 243 x 342 x 762 = 7448114962008
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
271 : 1, 271
243 : 1, 3, 9, 27, 81, 243
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,271,243,342,762, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
271:271
243:3x 3x 3x 3x 3
342:2x 3x 3x 19
762:2x 3x 127
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 7448114962008/(1x108)
LCM = 7448114962008/108
LCM = 68964027426
Thus, we can understand that the LCM of 434,271,243,342,762 is 68964027426.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 434, 271, 243, 342, 762?
Answer: LCM of 434, 271, 243, 342, 762 is 68964027426.
2. How to calculate the LCM of 434, 271, 243, 342, 762?
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 434, 271, 243, 342, 762.
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}.