Find the LCM of 422, 355, 538, 702, 142 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 422, 355, 538, 702, 142. So, keep reading to learn more.
Given numbers are 422,355,538,702,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,355,538,702,142 is 14144910390.
Find LCM of 422,355,538,702,142 with Prime Factorization
2 | 422, 355, 538, 702, 142 |
71 | 211, 355, 269, 351, 71 |
211, 5, 269, 351, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 211 x 5 x 269 x 351 x 1 = 14144910390
Therefore, the lowest common multiple of 422,355,538,702,142 is 14144910390.
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.
422 x 355 x 538 x 702 x 142 = 8034309101520
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.
422 : 1, 2, 211, 422
355 : 1, 5, 71, 355
538 : 1, 2, 269, 538
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,355,538,702,142, is 1.
Now, the common factors can be found like this.
422:2x 211
355:5x 71
538:2x 269
702:2x 3x 3x 3x 13
142:2x 71
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 71 = 568
Therefore, the value for common factors is 568.
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 = 8034309101520/(1x568)
LCM = 8034309101520/568
LCM = 14144910390
Thus, we can understand that the LCM of 422,355,538,702,142 is 14144910390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 355, 538, 702, 142?
Answer: LCM of 422, 355, 538, 702, 142 is 14144910390.
2. How to calculate the LCM of 422, 355, 538, 702, 142?
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 422, 355, 538, 702, 142.
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}.