LCM of 454, 589, 963, 837, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 589, 963, 837, 279 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, 589, 963, 837, 279. So, keep reading to learn more.
Given numbers are 454,589,963,837,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,589,963,837,279 is 772535934.
Find LCM of 454,589,963,837,279 with Prime Factorization
| 3 | 454, 589, 963, 837, 279 |
| 3 | 454, 589, 321, 279, 93 |
| 31 | 454, 589, 107, 31, 93 |
| 454, 19, 107, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 454 x 19 x 107 x 1 x 3 = 772535934
Therefore, the lowest common multiple of 454,589,963,837,279 is 772535934.
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 589 x 963 x 837 x 279 = 60134969638494
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
589 : 1, 19, 31, 589
963 : 1, 3, 9, 107, 321, 963
837 : 1, 3, 9, 27, 31, 93, 279, 837
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,589,963,837,279, is 1.
Now, the common factors can be found like this.
454:2x 227
589:19x 31
963:3x 3x 107
837:3x 3x 3x 31
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 31x 31 = 77841
Therefore, the value for common factors is 77841.
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 = 60134969638494/(1x77841)
LCM = 60134969638494/77841
LCM = 772535934
Thus, we can understand that the LCM of 454,589,963,837,279 is 772535934.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 589, 963, 837, 279
1. What is the LCM of 454, 589, 963, 837, 279?
Answer: LCM of 454, 589, 963, 837, 279 is 772535934.
2. How to calculate the LCM of 454, 589, 963, 837, 279?
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, 589, 963, 837, 279.
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}.