LCM of 327, 525, 514, 564, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 525, 514, 564, 546 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 327, 525, 514, 564, 546. So, keep reading to learn more.
Given numbers are 327,525,514,564,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,525,514,564,546 is 35943480300.
Find LCM of 327,525,514,564,546 with Prime Factorization
| 2 | 327, 525, 514, 564, 546 |
| 3 | 327, 525, 257, 282, 273 |
| 7 | 109, 175, 257, 94, 91 |
| 109, 25, 257, 94, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 109 x 25 x 257 x 94 x 13 = 35943480300
Therefore, the lowest common multiple of 327,525,514,564,546 is 35943480300.
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.
327 x 525 x 514 x 564 x 546 = 27173271106800
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.
327 : 1, 3, 109, 327
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
514 : 1, 2, 257, 514
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,525,514,564,546, is 1.
Now, the common factors can be found like this.
327:3x 109
525:3x 5x 5x 7
514:2x 257
564:2x 2x 3x 47
546:2x 3x 7x 13
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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 27173271106800/(1x756)
LCM = 27173271106800/756
LCM = 35943480300
Thus, we can understand that the LCM of 327,525,514,564,546 is 35943480300.
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FAQs on LCM of 327, 525, 514, 564, 546
1. What is the LCM of 327, 525, 514, 564, 546?
Answer: LCM of 327, 525, 514, 564, 546 is 35943480300.
2. How to calculate the LCM of 327, 525, 514, 564, 546?
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 327, 525, 514, 564, 546.
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}.