Find the LCM of 692, 660, 904, 30 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 692, 660, 904, 30. So, keep reading to learn more.
Given numbers are 692,660,904,30
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,660,904,30 is 25804680.
Find LCM of 692,660,904,30 with Prime Factorization
2 | 692, 660, 904, 30 |
2 | 346, 330, 452, 15 |
3 | 173, 165, 226, 15 |
5 | 173, 55, 226, 5 |
173, 11, 226, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 173 x 11 x 226 x 1 = 25804680
Therefore, the lowest common multiple of 692,660,904,30 is 25804680.
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.
692 x 660 x 904 x 30 = 12386246400
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.
692 : 1, 2, 4, 173, 346, 692
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
904 : 1, 2, 4, 8, 113, 226, 452, 904
30 : 1, 2, 3, 5, 6, 10, 15, 30
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,660,904,30, is 2.
Now, the common factors can be found like this.
692:2x 2x 173
660:2x 2x 3x 5x 11
904:2x 2x 2x 113
30:2x 3x 5
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 12386246400/(2x240)
LCM = 12386246400/480
LCM = 25804680
Thus, we can understand that the LCM of 692,660,904,30 is 25804680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 692, 660, 904, 30?
Answer: LCM of 692, 660, 904, 30 is 25804680.
2. How to calculate the LCM of 692, 660, 904, 30?
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 692, 660, 904, 30.
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}.