LCM of 451, 123, 312, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 123, 312, 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 451, 123, 312, 624. So, keep reading to learn more.
Given numbers are 451,123,312,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,123,312,624 is 281424.
Find LCM of 451,123,312,624 with Prime Factorization
| 2 | 451, 123, 312, 624 |
| 2 | 451, 123, 156, 312 |
| 2 | 451, 123, 78, 156 |
| 3 | 451, 123, 39, 78 |
| 13 | 451, 41, 13, 26 |
| 41 | 451, 41, 1, 2 |
| 11, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 41 x 11 x 1 x 1 x 2 = 281424
Therefore, the lowest common multiple of 451,123,312,624 is 281424.
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.
451 x 123 x 312 x 624 = 10799927424
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.
451 : 1, 11, 41, 451
123 : 1, 3, 41, 123
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 451,123,312,624, is 1.
Now, the common factors can be found like this.
451:11x 41
123:3x 41
312:2x 2x 2x 3x 13
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 3x 3x 13x 41 = 38376
Therefore, the value for common factors is 38376.
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 = 10799927424/(1x38376)
LCM = 10799927424/38376
LCM = 281424
Thus, we can understand that the LCM of 451,123,312,624 is 281424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 451, 123, 312, 624
1. What is the LCM of 451, 123, 312, 624?
Answer: LCM of 451, 123, 312, 624 is 281424.
2. How to calculate the LCM of 451, 123, 312, 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 451, 123, 312, 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}.