LCM of 176, 202, 704, 430, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 202, 704, 430, 713 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 176, 202, 704, 430, 713. So, keep reading to learn more.
Given numbers are 176,202,704,430,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,202,704,430,713 is 10899887680.
Find LCM of 176,202,704,430,713 with Prime Factorization
| 2 | 176, 202, 704, 430, 713 |
| 2 | 88, 101, 352, 215, 713 |
| 2 | 44, 101, 176, 215, 713 |
| 2 | 22, 101, 88, 215, 713 |
| 11 | 11, 101, 44, 215, 713 |
| 1, 101, 4, 215, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 1 x 101 x 4 x 215 x 713 = 10899887680
Therefore, the lowest common multiple of 176,202,704,430,713 is 10899887680.
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.
176 x 202 x 704 x 430 x 713 = 7673520926720
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
202 : 1, 2, 101, 202
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
430 : 1, 2, 5, 10, 43, 86, 215, 430
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,202,704,430,713, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
202:2x 101
704:2x 2x 2x 2x 2x 2x 11
430:2x 5x 43
713:23x 31
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 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 7673520926720/(1x704)
LCM = 7673520926720/704
LCM = 10899887680
Thus, we can understand that the LCM of 176,202,704,430,713 is 10899887680.
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FAQs on LCM of 176, 202, 704, 430, 713
1. What is the LCM of 176, 202, 704, 430, 713?
Answer: LCM of 176, 202, 704, 430, 713 is 10899887680.
2. How to calculate the LCM of 176, 202, 704, 430, 713?
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 176, 202, 704, 430, 713.
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}.