LCM of 210, 497, 646, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 497, 646, 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, 497, 646, 567. So, keep reading to learn more.
Given numbers are 210,497,646,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,497,646,567 is 130030110.
Find LCM of 210,497,646,567 with Prime Factorization
| 2 | 210, 497, 646, 567 |
| 3 | 105, 497, 323, 567 |
| 7 | 35, 497, 323, 189 |
| 5, 71, 323, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 5 x 71 x 323 x 27 = 130030110
Therefore, the lowest common multiple of 210,497,646,567 is 130030110.
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 497 x 646 x 567 = 38228852340
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
497 : 1, 7, 71, 497
646 : 1, 2, 17, 19, 34, 38, 323, 646
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 210,497,646,567, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
497:7x 71
646:2x 17x 19
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.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 38228852340/(1x294)
LCM = 38228852340/294
LCM = 130030110
Thus, we can understand that the LCM of 210,497,646,567 is 130030110.
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FAQs on LCM of 210, 497, 646, 567
1. What is the LCM of 210, 497, 646, 567?
Answer: LCM of 210, 497, 646, 567 is 130030110.
2. How to calculate the LCM of 210, 497, 646, 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, 497, 646, 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}.