LCM of 671, 363, 946, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 363, 946, 363 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, 363, 946, 363. So, keep reading to learn more.
Given numbers are 671,363,946,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,363,946,363 is 1904298.
Find LCM of 671,363,946,363 with Prime Factorization
| 3 | 671, 363, 946, 363 |
| 11 | 671, 121, 946, 121 |
| 11 | 61, 11, 86, 11 |
| 61, 1, 86, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 11 x 61 x 1 x 86 x 1 = 1904298
Therefore, the lowest common multiple of 671,363,946,363 is 1904298.
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 363 x 946 x 363 = 83642481054
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
363 : 1, 3, 11, 33, 121, 363
946 : 1, 2, 11, 22, 43, 86, 473, 946
363 : 1, 3, 11, 33, 121, 363
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,363,946,363, is 11.
Now, the common factors can be found like this.
671:11x 61
363:3x 11x 11
946:2x 11x 43
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11x 11 = 3993
Therefore, the value for common factors is 3993.
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 = 83642481054/(11x3993)
LCM = 83642481054/43923
LCM = 1904298
Thus, we can understand that the LCM of 671,363,946,363 is 1904298.
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FAQs on LCM of 671, 363, 946, 363
1. What is the LCM of 671, 363, 946, 363?
Answer: LCM of 671, 363, 946, 363 is 1904298.
2. How to calculate the LCM of 671, 363, 946, 363?
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, 363, 946, 363.
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}.