LCM of 585, 112, 662, 735, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 112, 662, 735, 451 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, 112, 662, 735, 451. So, keep reading to learn more.
Given numbers are 585,112,662,735,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,112,662,735,451 is 68466237840.
Find LCM of 585,112,662,735,451 with Prime Factorization
| 2 | 585, 112, 662, 735, 451 |
| 3 | 585, 56, 331, 735, 451 |
| 5 | 195, 56, 331, 245, 451 |
| 7 | 39, 56, 331, 49, 451 |
| 39, 8, 331, 7, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 39 x 8 x 331 x 7 x 451 = 68466237840
Therefore, the lowest common multiple of 585,112,662,735,451 is 68466237840.
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 112 x 662 x 735 x 451 = 14377909946400
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
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
662 : 1, 2, 331, 662
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,112,662,735,451, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
112:2x 2x 2x 2x 7
662:2x 331
735:3x 5x 7x 7
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 14377909946400/(1x210)
LCM = 14377909946400/210
LCM = 68466237840
Thus, we can understand that the LCM of 585,112,662,735,451 is 68466237840.
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FAQs on LCM of 585, 112, 662, 735, 451
1. What is the LCM of 585, 112, 662, 735, 451?
Answer: LCM of 585, 112, 662, 735, 451 is 68466237840.
2. How to calculate the LCM of 585, 112, 662, 735, 451?
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, 112, 662, 735, 451.
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}.