LCM of 585, 564, 182, 584, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 564, 182, 584, 762 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 585, 564, 182, 584, 762. So, keep reading to learn more.
Given numbers are 585,564,182,584,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,564,182,584,762 is 14274744120.
Find LCM of 585,564,182,584,762 with Prime Factorization
| 2 | 585, 564, 182, 584, 762 |
| 2 | 585, 282, 91, 292, 381 |
| 3 | 585, 141, 91, 146, 381 |
| 13 | 195, 47, 91, 146, 127 |
| 15, 47, 7, 146, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 15 x 47 x 7 x 146 x 127 = 14274744120
Therefore, the lowest common multiple of 585,564,182,584,762 is 14274744120.
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.
585 x 564 x 182 x 584 x 762 = 26722320992640
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
182 : 1, 2, 7, 13, 14, 26, 91, 182
584 : 1, 2, 4, 8, 73, 146, 292, 584
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,564,182,584,762, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
564:2x 2x 3x 47
182:2x 7x 13
584:2x 2x 2x 73
762:2x 3x 127
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 2x 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 26722320992640/(1x1872)
LCM = 26722320992640/1872
LCM = 14274744120
Thus, we can understand that the LCM of 585,564,182,584,762 is 14274744120.
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FAQs on LCM of 585, 564, 182, 584, 762
1. What is the LCM of 585, 564, 182, 584, 762?
Answer: LCM of 585, 564, 182, 584, 762 is 14274744120.
2. How to calculate the LCM of 585, 564, 182, 584, 762?
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 585, 564, 182, 584, 762.
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}.