LCM of 209, 836, 490, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 836, 490, 658 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 209, 836, 490, 658. So, keep reading to learn more.
Given numbers are 209,836,490,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,836,490,658 is 9626540.
Find LCM of 209,836,490,658 with Prime Factorization
| 2 | 209, 836, 490, 658 |
| 7 | 209, 418, 245, 329 |
| 11 | 209, 418, 35, 47 |
| 19 | 19, 38, 35, 47 |
| 1, 2, 35, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 19 x 1 x 2 x 35 x 47 = 9626540
Therefore, the lowest common multiple of 209,836,490,658 is 9626540.
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.
209 x 836 x 490 x 658 = 56334512080
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.
209 : 1, 11, 19, 209
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,836,490,658, is 1.
Now, the common factors can be found like this.
209:11x 19
836:2x 2x 11x 19
490:2x 5x 7x 7
658:2x 7x 47
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 7x 11x 19 = 5852
Therefore, the value for common factors is 5852.
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 = 56334512080/(1x5852)
LCM = 56334512080/5852
LCM = 9626540
Thus, we can understand that the LCM of 209,836,490,658 is 9626540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 836, 490, 658
1. What is the LCM of 209, 836, 490, 658?
Answer: LCM of 209, 836, 490, 658 is 9626540.
2. How to calculate the LCM of 209, 836, 490, 658?
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 209, 836, 490, 658.
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}.