LCM of 704, 209, 308, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 209, 308, 374 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 704, 209, 308, 374. So, keep reading to learn more.
Given numbers are 704,209,308,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,209,308,374 is 1591744.
Find LCM of 704,209,308,374 with Prime Factorization
| 2 | 704, 209, 308, 374 |
| 2 | 352, 209, 154, 187 |
| 11 | 176, 209, 77, 187 |
| 16, 19, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 19 x 7 x 17 = 1591744
Therefore, the lowest common multiple of 704,209,308,374 is 1591744.
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.
704 x 209 x 308 x 374 = 16948890112
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
209 : 1, 11, 19, 209
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
374 : 1, 2, 11, 17, 22, 34, 187, 374
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,209,308,374, is 11.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
209:11x 19
308:2x 2x 7x 11
374:2x 11x 17
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 11 = 968
Therefore, the value for common factors is 968.
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 = 16948890112/(11x968)
LCM = 16948890112/10648
LCM = 1591744
Thus, we can understand that the LCM of 704,209,308,374 is 1591744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 704, 209, 308, 374
1. What is the LCM of 704, 209, 308, 374?
Answer: LCM of 704, 209, 308, 374 is 1591744.
2. How to calculate the LCM of 704, 209, 308, 374?
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 704, 209, 308, 374.
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}.