LCM of 628, 432, 723, 117, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 432, 723, 117, 179 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 628, 432, 723, 117, 179. So, keep reading to learn more.
Given numbers are 628,432,723,117,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,432,723,117,179 is 38036173968.
Find LCM of 628,432,723,117,179 with Prime Factorization
| 2 | 628, 432, 723, 117, 179 |
| 2 | 314, 216, 723, 117, 179 |
| 3 | 157, 108, 723, 117, 179 |
| 3 | 157, 36, 241, 39, 179 |
| 157, 12, 241, 13, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 157 x 12 x 241 x 13 x 179 = 38036173968
Therefore, the lowest common multiple of 628,432,723,117,179 is 38036173968.
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.
628 x 432 x 723 x 117 x 179 = 4107906788544
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.
628 : 1, 2, 4, 157, 314, 628
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
723 : 1, 3, 241, 723
117 : 1, 3, 9, 13, 39, 117
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,432,723,117,179, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
432:2x 2x 2x 2x 3x 3x 3
723:3x 241
117:3x 3x 13
179:179
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 4107906788544/(1x108)
LCM = 4107906788544/108
LCM = 38036173968
Thus, we can understand that the LCM of 628,432,723,117,179 is 38036173968.
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FAQs on LCM of 628, 432, 723, 117, 179
1. What is the LCM of 628, 432, 723, 117, 179?
Answer: LCM of 628, 432, 723, 117, 179 is 38036173968.
2. How to calculate the LCM of 628, 432, 723, 117, 179?
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 628, 432, 723, 117, 179.
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}.