LCM of 497, 207, 747, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 207, 747, 213 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 497, 207, 747, 213. So, keep reading to learn more.
Given numbers are 497,207,747,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,207,747,213 is 8538957.
Find LCM of 497,207,747,213 with Prime Factorization
| 3 | 497, 207, 747, 213 |
| 3 | 497, 69, 249, 71 |
| 71 | 497, 23, 83, 71 |
| 7, 23, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 71 x 7 x 23 x 83 x 1 = 8538957
Therefore, the lowest common multiple of 497,207,747,213 is 8538957.
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.
497 x 207 x 747 x 213 = 16369180569
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.
497 : 1, 7, 71, 497
207 : 1, 3, 9, 23, 69, 207
747 : 1, 3, 9, 83, 249, 747
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,207,747,213, is 1.
Now, the common factors can be found like this.
497:7x 71
207:3x 3x 23
747:3x 3x 83
213:3x 71
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 71 = 1917
Therefore, the value for common factors is 1917.
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 = 16369180569/(1x1917)
LCM = 16369180569/1917
LCM = 8538957
Thus, we can understand that the LCM of 497,207,747,213 is 8538957.
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FAQs on LCM of 497, 207, 747, 213
1. What is the LCM of 497, 207, 747, 213?
Answer: LCM of 497, 207, 747, 213 is 8538957.
2. How to calculate the LCM of 497, 207, 747, 213?
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 497, 207, 747, 213.
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}.