LCM of 525, 165, 210, 858, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 165, 210, 858, 920 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 525, 165, 210, 858, 920. So, keep reading to learn more.
Given numbers are 525,165,210,858,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,165,210,858,920 is 13813800.
Find LCM of 525,165,210,858,920 with Prime Factorization
| 2 | 525, 165, 210, 858, 920 |
| 3 | 525, 165, 105, 429, 460 |
| 5 | 175, 55, 35, 143, 460 |
| 7 | 7, 11, 35, 143, 92 |
| 11 | 1, 11, 5, 143, 92 |
| 1, 1, 5, 13, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 1 x 1 x 5 x 13 x 92 = 13813800
Therefore, the lowest common multiple of 525,165,210,858,920 is 13813800.
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.
525 x 165 x 210 x 858 x 920 = 14359445100000
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
165 : 1, 3, 5, 11, 15, 33, 55, 165
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,165,210,858,920, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
165:3x 5x 11
210:2x 3x 5x 7
858:2x 3x 11x 13
920:2x 2x 2x 5x 23
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 5x 5x 5x 7x 11 = 1039500
Therefore, the value for common factors is 1039500.
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 = 14359445100000/(1x1039500)
LCM = 14359445100000/1039500
LCM = 13813800
Thus, we can understand that the LCM of 525,165,210,858,920 is 13813800.
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FAQs on LCM of 525, 165, 210, 858, 920
1. What is the LCM of 525, 165, 210, 858, 920?
Answer: LCM of 525, 165, 210, 858, 920 is 13813800.
2. How to calculate the LCM of 525, 165, 210, 858, 920?
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 525, 165, 210, 858, 920.
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}.