LCM of 564, 642, 882, 385, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 642, 882, 385, 846 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 564, 642, 882, 385, 846. So, keep reading to learn more.
Given numbers are 564,642,882,385,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,642,882,385,846 is 487913580.
Find LCM of 564,642,882,385,846 with Prime Factorization
| 2 | 564, 642, 882, 385, 846 |
| 3 | 282, 321, 441, 385, 423 |
| 3 | 94, 107, 147, 385, 141 |
| 7 | 94, 107, 49, 385, 47 |
| 47 | 94, 107, 7, 55, 47 |
| 2, 107, 7, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 47 x 2 x 107 x 7 x 55 x 1 = 487913580
Therefore, the lowest common multiple of 564,642,882,385,846 is 487913580.
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.
564 x 642 x 882 x 385 x 846 = 104019271947360
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
642 : 1, 2, 3, 6, 107, 214, 321, 642
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
385 : 1, 5, 7, 11, 35, 55, 77, 385
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,642,882,385,846, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
642:2x 3x 107
882:2x 3x 3x 7x 7
385:5x 7x 11
846:2x 3x 3x 47
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 3x 3x 3x 7x 47 = 213192
Therefore, the value for common factors is 213192.
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 = 104019271947360/(1x213192)
LCM = 104019271947360/213192
LCM = 487913580
Thus, we can understand that the LCM of 564,642,882,385,846 is 487913580.
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FAQs on LCM of 564, 642, 882, 385, 846
1. What is the LCM of 564, 642, 882, 385, 846?
Answer: LCM of 564, 642, 882, 385, 846 is 487913580.
2. How to calculate the LCM of 564, 642, 882, 385, 846?
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 564, 642, 882, 385, 846.
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}.