LCM of 699, 545, 598, 588, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 545, 598, 588, 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 699, 545, 598, 588, 585. So, keep reading to learn more.
Given numbers are 699,545,598,588,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,545,598,588,585 is 66976460460.
Find LCM of 699,545,598,588,585 with Prime Factorization
| 2 | 699, 545, 598, 588, 585 |
| 3 | 699, 545, 299, 294, 585 |
| 5 | 233, 545, 299, 98, 195 |
| 13 | 233, 109, 299, 98, 39 |
| 233, 109, 23, 98, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 233 x 109 x 23 x 98 x 3 = 66976460460
Therefore, the lowest common multiple of 699,545,598,588,585 is 66976460460.
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.
699 x 545 x 598 x 588 x 585 = 78362458738200
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.
699 : 1, 3, 233, 699
545 : 1, 5, 109, 545
598 : 1, 2, 13, 23, 26, 46, 299, 598
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 699,545,598,588,585, is 1.
Now, the common factors can be found like this.
699:3x 233
545:5x 109
598:2x 13x 23
588:2x 2x 3x 7x 7
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.
2x 3x 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 78362458738200/(1x1170)
LCM = 78362458738200/1170
LCM = 66976460460
Thus, we can understand that the LCM of 699,545,598,588,585 is 66976460460.
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FAQs on LCM of 699, 545, 598, 588, 585
1. What is the LCM of 699, 545, 598, 588, 585?
Answer: LCM of 699, 545, 598, 588, 585 is 66976460460.
2. How to calculate the LCM of 699, 545, 598, 588, 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 699, 545, 598, 588, 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}.