LCM of 451, 814, 274, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 814, 274, 306 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, 814, 274, 306. So, keep reading to learn more.
Given numbers are 451,814,274,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,814,274,306 is 699552414.
Find LCM of 451,814,274,306 with Prime Factorization
| 2 | 451, 814, 274, 306 |
| 11 | 451, 407, 137, 153 |
| 41, 37, 137, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 37 x 137 x 153 = 699552414
Therefore, the lowest common multiple of 451,814,274,306 is 699552414.
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 814 x 274 x 306 = 30780306216
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
274 : 1, 2, 137, 274
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,814,274,306, is 1.
Now, the common factors can be found like this.
451:11x 41
814:2x 11x 37
274:2x 137
306:2x 3x 3x 17
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 11 = 44
Therefore, the value for common factors is 44.
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 = 30780306216/(1x44)
LCM = 30780306216/44
LCM = 699552414
Thus, we can understand that the LCM of 451,814,274,306 is 699552414.
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FAQs on LCM of 451, 814, 274, 306
1. What is the LCM of 451, 814, 274, 306?
Answer: LCM of 451, 814, 274, 306 is 699552414.
2. How to calculate the LCM of 451, 814, 274, 306?
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, 814, 274, 306.
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}.