LCM of 662, 176, 726, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 176, 726, 304 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 662, 176, 726, 304. So, keep reading to learn more.
Given numbers are 662,176,726,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,176,726,304 is 36526512.
Find LCM of 662,176,726,304 with Prime Factorization
| 2 | 662, 176, 726, 304 |
| 2 | 331, 88, 363, 152 |
| 2 | 331, 44, 363, 76 |
| 2 | 331, 22, 363, 38 |
| 11 | 331, 11, 363, 19 |
| 331, 1, 33, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 331 x 1 x 33 x 19 = 36526512
Therefore, the lowest common multiple of 662,176,726,304 is 36526512.
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.
662 x 176 x 726 x 304 = 25714664448
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.
662 : 1, 2, 331, 662
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,176,726,304, is 2.
Now, the common factors can be found like this.
662:2x 331
176:2x 2x 2x 2x 11
726:2x 3x 11x 11
304:2x 2x 2x 2x 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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 25714664448/(2x352)
LCM = 25714664448/704
LCM = 36526512
Thus, we can understand that the LCM of 662,176,726,304 is 36526512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 662, 176, 726, 304
1. What is the LCM of 662, 176, 726, 304?
Answer: LCM of 662, 176, 726, 304 is 36526512.
2. How to calculate the LCM of 662, 176, 726, 304?
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 662, 176, 726, 304.
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}.