Find the LCM of 510, 132, 442, 624, 922 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 510, 132, 442, 624, 922. So, keep reading to learn more.
Given numbers are 510,132,442,624,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,132,442,624,922 is 268965840.
Find LCM of 510,132,442,624,922 with Prime Factorization
2 | 510, 132, 442, 624, 922 |
2 | 255, 66, 221, 312, 461 |
3 | 255, 33, 221, 156, 461 |
13 | 85, 11, 221, 52, 461 |
17 | 85, 11, 17, 4, 461 |
5, 11, 1, 4, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 5 x 11 x 1 x 4 x 461 = 268965840
Therefore, the lowest common multiple of 510,132,442,624,922 is 268965840.
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.
510 x 132 x 442 x 624 x 922 = 17119137784320
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
442 : 1, 2, 13, 17, 26, 34, 221, 442
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
922 : 1, 2, 461, 922
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,132,442,624,922, is 2.
Now, the common factors can be found like this.
510:2x 3x 5x 17
132:2x 2x 3x 11
442:2x 13x 17
624:2x 2x 2x 2x 3x 13
922:2x 461
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 3x 13x 17 = 31824
Therefore, the value for common factors is 31824.
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 = 17119137784320/(2x31824)
LCM = 17119137784320/63648
LCM = 268965840
Thus, we can understand that the LCM of 510,132,442,624,922 is 268965840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 132, 442, 624, 922?
Answer: LCM of 510, 132, 442, 624, 922 is 268965840.
2. How to calculate the LCM of 510, 132, 442, 624, 922?
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 510, 132, 442, 624, 922.
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}.