Find the LCM of 442, 427, 180, 302, 653 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 442, 427, 180, 302, 653. So, keep reading to learn more.
Given numbers are 442,427,180,302,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,427,180,302,653 is 1674876474180.
Find LCM of 442,427,180,302,653 with Prime Factorization
2 | 442, 427, 180, 302, 653 |
221, 427, 90, 151, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 221 x 427 x 90 x 151 x 653 = 1674876474180
Therefore, the lowest common multiple of 442,427,180,302,653 is 1674876474180.
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.
442 x 427 x 180 x 302 x 653 = 6699505896720
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
427 : 1, 7, 61, 427
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
302 : 1, 2, 151, 302
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,427,180,302,653, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
427:7x 61
180:2x 2x 3x 3x 5
302:2x 151
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 6699505896720/(1x4)
LCM = 6699505896720/4
LCM = 1674876474180
Thus, we can understand that the LCM of 442,427,180,302,653 is 1674876474180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 427, 180, 302, 653?
Answer: LCM of 442, 427, 180, 302, 653 is 1674876474180.
2. How to calculate the LCM of 442, 427, 180, 302, 653?
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 442, 427, 180, 302, 653.
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}.