LCM of 329, 501, 572, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 501, 572, 596 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 329, 501, 572, 596. So, keep reading to learn more.
Given numbers are 329,501,572,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,501,572,596 is 14048046012.
Find LCM of 329,501,572,596 with Prime Factorization
| 2 | 329, 501, 572, 596 |
| 2 | 329, 501, 286, 298 |
| 329, 501, 143, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 329 x 501 x 143 x 149 = 14048046012
Therefore, the lowest common multiple of 329,501,572,596 is 14048046012.
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.
329 x 501 x 572 x 596 = 56192184048
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.
329 : 1, 7, 47, 329
501 : 1, 3, 167, 501
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,501,572,596, is 1.
Now, the common factors can be found like this.
329:7x 47
501:3x 167
572:2x 2x 11x 13
596:2x 2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 56192184048/(1x4)
LCM = 56192184048/4
LCM = 14048046012
Thus, we can understand that the LCM of 329,501,572,596 is 14048046012.
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FAQs on LCM of 329, 501, 572, 596
1. What is the LCM of 329, 501, 572, 596?
Answer: LCM of 329, 501, 572, 596 is 14048046012.
2. How to calculate the LCM of 329, 501, 572, 596?
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 329, 501, 572, 596.
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}.