LCM of 212, 615, 561, 172, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 615, 561, 172, 624 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 212, 615, 561, 172, 624. So, keep reading to learn more.
Given numbers are 212,615,561,172,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,615,561,172,624 is 54516050160.
Find LCM of 212,615,561,172,624 with Prime Factorization
| 2 | 212, 615, 561, 172, 624 |
| 2 | 106, 615, 561, 86, 312 |
| 3 | 53, 615, 561, 43, 156 |
| 53, 205, 187, 43, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 205 x 187 x 43 x 52 = 54516050160
Therefore, the lowest common multiple of 212,615,561,172,624 is 54516050160.
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.
212 x 615 x 561 x 172 x 624 = 7850311223040
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.
212 : 1, 2, 4, 53, 106, 212
615 : 1, 3, 5, 15, 41, 123, 205, 615
561 : 1, 3, 11, 17, 33, 51, 187, 561
172 : 1, 2, 4, 43, 86, 172
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,615,561,172,624, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
615:3x 5x 41
561:3x 11x 17
172:2x 2x 43
624:2x 2x 2x 2x 3x 13
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 3 = 144
Therefore, the value for common factors is 144.
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 = 7850311223040/(1x144)
LCM = 7850311223040/144
LCM = 54516050160
Thus, we can understand that the LCM of 212,615,561,172,624 is 54516050160.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 212, 615, 561, 172, 624
1. What is the LCM of 212, 615, 561, 172, 624?
Answer: LCM of 212, 615, 561, 172, 624 is 54516050160.
2. How to calculate the LCM of 212, 615, 561, 172, 624?
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 212, 615, 561, 172, 624.
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}.