LCM of 454, 321, 963, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 321, 963, 294 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 454, 321, 963, 294. So, keep reading to learn more.
Given numbers are 454,321,963,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,321,963,294 is 21422898.
Find LCM of 454,321,963,294 with Prime Factorization
| 2 | 454, 321, 963, 294 |
| 3 | 227, 321, 963, 147 |
| 107 | 227, 107, 321, 49 |
| 227, 1, 3, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 227 x 1 x 3 x 49 = 21422898
Therefore, the lowest common multiple of 454,321,963,294 is 21422898.
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.
454 x 321 x 963 x 294 = 41260501548
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.
454 : 1, 2, 227, 454
321 : 1, 3, 107, 321
963 : 1, 3, 9, 107, 321, 963
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,321,963,294, is 1.
Now, the common factors can be found like this.
454:2x 227
321:3x 107
963:3x 3x 107
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 41260501548/(1x1926)
LCM = 41260501548/1926
LCM = 21422898
Thus, we can understand that the LCM of 454,321,963,294 is 21422898.
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FAQs on LCM of 454, 321, 963, 294
1. What is the LCM of 454, 321, 963, 294?
Answer: LCM of 454, 321, 963, 294 is 21422898.
2. How to calculate the LCM of 454, 321, 963, 294?
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 454, 321, 963, 294.
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}.