LCM of 462, 280, 978, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 280, 978, 209 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 462, 280, 978, 209. So, keep reading to learn more.
Given numbers are 462,280,978,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,280,978,209 is 28616280.
Find LCM of 462,280,978,209 with Prime Factorization
| 2 | 462, 280, 978, 209 |
| 3 | 231, 140, 489, 209 |
| 7 | 77, 140, 163, 209 |
| 11 | 11, 20, 163, 209 |
| 1, 20, 163, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 1 x 20 x 163 x 19 = 28616280
Therefore, the lowest common multiple of 462,280,978,209 is 28616280.
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.
462 x 280 x 978 x 209 = 26441442720
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
978 : 1, 2, 3, 6, 163, 326, 489, 978
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,280,978,209, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
280:2x 2x 2x 5x 7
978:2x 3x 163
209:11x 19
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 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 26441442720/(1x924)
LCM = 26441442720/924
LCM = 28616280
Thus, we can understand that the LCM of 462,280,978,209 is 28616280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 280, 978, 209
1. What is the LCM of 462, 280, 978, 209?
Answer: LCM of 462, 280, 978, 209 is 28616280.
2. How to calculate the LCM of 462, 280, 978, 209?
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 462, 280, 978, 209.
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}.