LCM of 308, 202, 209, 152, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 202, 209, 152, 829 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 308, 202, 209, 152, 829. So, keep reading to learn more.
Given numbers are 308,202,209,152,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,202,209,152,829 is 979964216.
Find LCM of 308,202,209,152,829 with Prime Factorization
| 2 | 308, 202, 209, 152, 829 |
| 2 | 154, 101, 209, 76, 829 |
| 11 | 77, 101, 209, 38, 829 |
| 19 | 7, 101, 19, 38, 829 |
| 7, 101, 1, 2, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 7 x 101 x 1 x 2 x 829 = 979964216
Therefore, the lowest common multiple of 308,202,209,152,829 is 979964216.
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.
308 x 202 x 209 x 152 x 829 = 1638500169152
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
202 : 1, 2, 101, 202
209 : 1, 11, 19, 209
152 : 1, 2, 4, 8, 19, 38, 76, 152
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,202,209,152,829, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
202:2x 101
209:11x 19
152:2x 2x 2x 19
829:829
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 2x 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 1638500169152/(1x1672)
LCM = 1638500169152/1672
LCM = 979964216
Thus, we can understand that the LCM of 308,202,209,152,829 is 979964216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 202, 209, 152, 829
1. What is the LCM of 308, 202, 209, 152, 829?
Answer: LCM of 308, 202, 209, 152, 829 is 979964216.
2. How to calculate the LCM of 308, 202, 209, 152, 829?
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 308, 202, 209, 152, 829.
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}.