LCM of 321, 526, 646, 476, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 526, 646, 476, 594 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 321, 526, 646, 476, 594. So, keep reading to learn more.
Given numbers are 321,526,646,476,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,526,646,476,594 is 75588639588.
Find LCM of 321,526,646,476,594 with Prime Factorization
| 2 | 321, 526, 646, 476, 594 |
| 3 | 321, 263, 323, 238, 297 |
| 17 | 107, 263, 323, 238, 99 |
| 107, 263, 19, 14, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 107 x 263 x 19 x 14 x 99 = 75588639588
Therefore, the lowest common multiple of 321,526,646,476,594 is 75588639588.
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.
321 x 526 x 646 x 476 x 594 = 30840164951904
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.
321 : 1, 3, 107, 321
526 : 1, 2, 263, 526
646 : 1, 2, 17, 19, 34, 38, 323, 646
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,526,646,476,594, is 1.
Now, the common factors can be found like this.
321:3x 107
526:2x 263
646:2x 17x 19
476:2x 2x 7x 17
594:2x 3x 3x 3x 11
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 2x 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 30840164951904/(1x408)
LCM = 30840164951904/408
LCM = 75588639588
Thus, we can understand that the LCM of 321,526,646,476,594 is 75588639588.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 526, 646, 476, 594
1. What is the LCM of 321, 526, 646, 476, 594?
Answer: LCM of 321, 526, 646, 476, 594 is 75588639588.
2. How to calculate the LCM of 321, 526, 646, 476, 594?
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 321, 526, 646, 476, 594.
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}.