LCM of 378, 504, 209, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 504, 209, 656 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 378, 504, 209, 656. So, keep reading to learn more.
Given numbers are 378,504,209,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,504,209,656 is 25912656.
Find LCM of 378,504,209,656 with Prime Factorization
| 2 | 378, 504, 209, 656 |
| 2 | 189, 252, 209, 328 |
| 2 | 189, 126, 209, 164 |
| 3 | 189, 63, 209, 82 |
| 3 | 21, 63, 209, 82 |
| 7 | 7, 21, 209, 82 |
| 1, 3, 209, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 1 x 3 x 209 x 82 = 25912656
Therefore, the lowest common multiple of 378,504,209,656 is 25912656.
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.
378 x 504 x 209 x 656 = 26119957248
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
209 : 1, 11, 19, 209
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,504,209,656, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
504:2x 2x 2x 3x 3x 7
209:11x 19
656:2x 2x 2x 2x 41
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 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 26119957248/(1x1008)
LCM = 26119957248/1008
LCM = 25912656
Thus, we can understand that the LCM of 378,504,209,656 is 25912656.
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FAQs on LCM of 378, 504, 209, 656
1. What is the LCM of 378, 504, 209, 656?
Answer: LCM of 378, 504, 209, 656 is 25912656.
2. How to calculate the LCM of 378, 504, 209, 656?
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 378, 504, 209, 656.
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}.