LCM of 585, 223, 126, 546, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 223, 126, 546, 776 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, 223, 126, 546, 776. So, keep reading to learn more.
Given numbers are 585,223,126,546,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,223,126,546,776 is 708631560.
Find LCM of 585,223,126,546,776 with Prime Factorization
| 2 | 585, 223, 126, 546, 776 |
| 3 | 585, 223, 63, 273, 388 |
| 3 | 195, 223, 21, 91, 388 |
| 7 | 65, 223, 7, 91, 388 |
| 13 | 65, 223, 1, 13, 388 |
| 5, 223, 1, 1, 388 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 5 x 223 x 1 x 1 x 388 = 708631560
Therefore, the lowest common multiple of 585,223,126,546,776 is 708631560.
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 223 x 126 x 546 x 776 = 6964430971680
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
223 : 1, 223
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,223,126,546,776, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
223:223
126:2x 3x 3x 7
546:2x 3x 7x 13
776:2x 2x 2x 97
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 7x 13 = 9828
Therefore, the value for common factors is 9828.
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 = 6964430971680/(1x9828)
LCM = 6964430971680/9828
LCM = 708631560
Thus, we can understand that the LCM of 585,223,126,546,776 is 708631560.
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FAQs on LCM of 585, 223, 126, 546, 776
1. What is the LCM of 585, 223, 126, 546, 776?
Answer: LCM of 585, 223, 126, 546, 776 is 708631560.
2. How to calculate the LCM of 585, 223, 126, 546, 776?
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, 223, 126, 546, 776.
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}.