LCM of 641, 945, 735, 860, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 945, 735, 860, 585 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 641, 945, 735, 860, 585. So, keep reading to learn more.
Given numbers are 641,945,735,860,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,945,735,860,585 is 9481120740.
Find LCM of 641,945,735,860,585 with Prime Factorization
| 3 | 641, 945, 735, 860, 585 |
| 3 | 641, 315, 245, 860, 195 |
| 5 | 641, 105, 245, 860, 65 |
| 7 | 641, 21, 49, 172, 13 |
| 641, 3, 7, 172, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 641 x 3 x 7 x 172 x 13 = 9481120740
Therefore, the lowest common multiple of 641,945,735,860,585 is 9481120740.
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.
641 x 945 x 735 x 860 x 585 = 223991477482500
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.
641 : 1, 641
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,945,735,860,585, is 1.
Now, the common factors can be found like this.
641:641
945:3x 3x 3x 5x 7
735:3x 5x 7x 7
860:2x 2x 5x 43
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 5x 7 = 23625
Therefore, the value for common factors is 23625.
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 = 223991477482500/(1x23625)
LCM = 223991477482500/23625
LCM = 9481120740
Thus, we can understand that the LCM of 641,945,735,860,585 is 9481120740.
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FAQs on LCM of 641, 945, 735, 860, 585
1. What is the LCM of 641, 945, 735, 860, 585?
Answer: LCM of 641, 945, 735, 860, 585 is 9481120740.
2. How to calculate the LCM of 641, 945, 735, 860, 585?
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 641, 945, 735, 860, 585.
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}.