LCM of 475, 646, 772, 456, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 646, 772, 456, 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 475, 646, 772, 456, 209. So, keep reading to learn more.
Given numbers are 475,646,772,456,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,646,772,456,209 is 411437400.
Find LCM of 475,646,772,456,209 with Prime Factorization
| 2 | 475, 646, 772, 456, 209 |
| 2 | 475, 323, 386, 228, 209 |
| 19 | 475, 323, 193, 114, 209 |
| 25, 17, 193, 6, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 25 x 17 x 193 x 6 x 11 = 411437400
Therefore, the lowest common multiple of 475,646,772,456,209 is 411437400.
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.
475 x 646 x 772 x 456 x 209 = 22576393012800
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.
475 : 1, 5, 19, 25, 95, 475
646 : 1, 2, 17, 19, 34, 38, 323, 646
772 : 1, 2, 4, 193, 386, 772
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,646,772,456,209, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
646:2x 17x 19
772:2x 2x 193
456:2x 2x 2x 3x 19
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 2x 19x 19x 19 = 54872
Therefore, the value for common factors is 54872.
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 = 22576393012800/(1x54872)
LCM = 22576393012800/54872
LCM = 411437400
Thus, we can understand that the LCM of 475,646,772,456,209 is 411437400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 475, 646, 772, 456, 209
1. What is the LCM of 475, 646, 772, 456, 209?
Answer: LCM of 475, 646, 772, 456, 209 is 411437400.
2. How to calculate the LCM of 475, 646, 772, 456, 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 475, 646, 772, 456, 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}.