LCM of 671, 428, 319, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 428, 319, 963 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 671, 428, 319, 963. So, keep reading to learn more.
Given numbers are 671,428,319,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,428,319,963 is 74956068.
Find LCM of 671,428,319,963 with Prime Factorization
| 11 | 671, 428, 319, 963 |
| 107 | 61, 428, 29, 963 |
| 61, 4, 29, 9 |
Multiply the prime numbers at the bottom and the left side.
11 x 107 x 61 x 4 x 29 x 9 = 74956068
Therefore, the lowest common multiple of 671,428,319,963 is 74956068.
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.
671 x 428 x 319 x 963 = 88223292036
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.
671 : 1, 11, 61, 671
428 : 1, 2, 4, 107, 214, 428
319 : 1, 11, 29, 319
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,428,319,963, is 1.
Now, the common factors can be found like this.
671:11x 61
428:2x 2x 107
319:11x 29
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 107 = 1177
Therefore, the value for common factors is 1177.
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 = 88223292036/(1x1177)
LCM = 88223292036/1177
LCM = 74956068
Thus, we can understand that the LCM of 671,428,319,963 is 74956068.
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FAQs on LCM of 671, 428, 319, 963
1. What is the LCM of 671, 428, 319, 963?
Answer: LCM of 671, 428, 319, 963 is 74956068.
2. How to calculate the LCM of 671, 428, 319, 963?
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 671, 428, 319, 963.
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}.