LCM of 585, 375, 841, 725, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 375, 841, 725, 210 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, 375, 841, 725, 210. So, keep reading to learn more.
Given numbers are 585,375,841,725,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,375,841,725,210 is 172194750.
Find LCM of 585,375,841,725,210 with Prime Factorization
| 3 | 585, 375, 841, 725, 210 |
| 5 | 195, 125, 841, 725, 70 |
| 5 | 39, 25, 841, 145, 14 |
| 29 | 39, 5, 841, 29, 14 |
| 39, 5, 1, 29, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 29 x 39 x 5 x 1 x 29 x 14 = 172194750
Therefore, the lowest common multiple of 585,375,841,725,210 is 172194750.
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 375 x 841 x 725 x 210 = 28089268593750
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
375 : 1, 3, 5, 15, 25, 75, 125, 375
841 : 1, 29, 841
725 : 1, 5, 25, 29, 145, 725
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,375,841,725,210, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
375:3x 5x 5x 5
841:29x 29
725:5x 5x 29
210:2x 3x 5x 7
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 5x 5x 5x 5x 29 = 163125
Therefore, the value for common factors is 163125.
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 = 28089268593750/(1x163125)
LCM = 28089268593750/163125
LCM = 172194750
Thus, we can understand that the LCM of 585,375,841,725,210 is 172194750.
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FAQs on LCM of 585, 375, 841, 725, 210
1. What is the LCM of 585, 375, 841, 725, 210?
Answer: LCM of 585, 375, 841, 725, 210 is 172194750.
2. How to calculate the LCM of 585, 375, 841, 725, 210?
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, 375, 841, 725, 210.
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}.