LCM of 210, 697, 459, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 697, 459, 567 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 210, 697, 459, 567. So, keep reading to learn more.
Given numbers are 210,697,459,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,697,459,567 is 3951990.
Find LCM of 210,697,459,567 with Prime Factorization
| 3 | 210, 697, 459, 567 |
| 3 | 70, 697, 153, 189 |
| 3 | 70, 697, 51, 63 |
| 7 | 70, 697, 17, 21 |
| 17 | 10, 697, 17, 3 |
| 10, 41, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 17 x 10 x 41 x 1 x 3 = 3951990
Therefore, the lowest common multiple of 210,697,459,567 is 3951990.
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.
210 x 697 x 459 x 567 = 38093231610
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
697 : 1, 17, 41, 697
459 : 1, 3, 9, 17, 27, 51, 153, 459
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,697,459,567, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
697:17x 41
459:3x 3x 3x 17
567:3x 3x 3x 3x 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 3x 3x 7x 17 = 9639
Therefore, the value for common factors is 9639.
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 = 38093231610/(1x9639)
LCM = 38093231610/9639
LCM = 3951990
Thus, we can understand that the LCM of 210,697,459,567 is 3951990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 697, 459, 567
1. What is the LCM of 210, 697, 459, 567?
Answer: LCM of 210, 697, 459, 567 is 3951990.
2. How to calculate the LCM of 210, 697, 459, 567?
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 210, 697, 459, 567.
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}.