LCM of 486, 697, 927, 527, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 697, 927, 527, 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 486, 697, 927, 527, 210. So, keep reading to learn more.
Given numbers are 486,697,927,527,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,697,927,527,210 is 37856112210.
Find LCM of 486,697,927,527,210 with Prime Factorization
| 2 | 486, 697, 927, 527, 210 |
| 3 | 243, 697, 927, 527, 105 |
| 3 | 81, 697, 309, 527, 35 |
| 17 | 27, 697, 103, 527, 35 |
| 27, 41, 103, 31, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 27 x 41 x 103 x 31 x 35 = 37856112210
Therefore, the lowest common multiple of 486,697,927,527,210 is 37856112210.
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.
486 x 697 x 927 x 527 x 210 = 34751911008780
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
697 : 1, 17, 41, 697
927 : 1, 3, 9, 103, 309, 927
527 : 1, 17, 31, 527
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 486,697,927,527,210, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
697:17x 41
927:3x 3x 103
527:17x 31
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.
2x 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 34751911008780/(1x918)
LCM = 34751911008780/918
LCM = 37856112210
Thus, we can understand that the LCM of 486,697,927,527,210 is 37856112210.
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FAQs on LCM of 486, 697, 927, 527, 210
1. What is the LCM of 486, 697, 927, 527, 210?
Answer: LCM of 486, 697, 927, 527, 210 is 37856112210.
2. How to calculate the LCM of 486, 697, 927, 527, 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 486, 697, 927, 527, 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}.