Find the LCM of 54, 61, 42, 42, 687 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 54, 61, 42, 42, 687. So, keep reading to learn more.
Given numbers are 54,61,42,42,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 54,61,42,42,687 is 5280282.
Find LCM of 54,61,42,42,687 with Prime Factorization
2 | 54, 61, 42, 42, 687 |
3 | 27, 61, 21, 21, 687 |
7 | 9, 61, 7, 7, 229 |
9, 61, 1, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 9 x 61 x 1 x 1 x 229 = 5280282
Therefore, the lowest common multiple of 54,61,42,42,687 is 5280282.
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.
54 x 61 x 42 x 42 x 687 = 3991893192
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.
54 : 1, 2, 3, 6, 9, 18, 27, 54
61 : 1, 61
42 : 1, 2, 3, 6, 7, 14, 21, 42
42 : 1, 2, 3, 6, 7, 14, 21, 42
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 54,61,42,42,687, is 1.
Now, the common factors can be found like this.
54:2x 3x 3x 3
61:61
42:2x 3x 7
42:2x 3x 7
687:3x 229
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 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 3991893192/(1x756)
LCM = 3991893192/756
LCM = 5280282
Thus, we can understand that the LCM of 54,61,42,42,687 is 5280282.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 54, 61, 42, 42, 687?
Answer: LCM of 54, 61, 42, 42, 687 is 5280282.
2. How to calculate the LCM of 54, 61, 42, 42, 687?
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 54, 61, 42, 42, 687.
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}.