LCM of 179, 918, 540, 354, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 918, 540, 354, 801 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 179, 918, 540, 354, 801. So, keep reading to learn more.
Given numbers are 179,918,540,354,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,918,540,354,801 is 8628548220.
Find LCM of 179,918,540,354,801 with Prime Factorization
| 2 | 179, 918, 540, 354, 801 |
| 3 | 179, 459, 270, 177, 801 |
| 3 | 179, 153, 90, 59, 267 |
| 3 | 179, 51, 30, 59, 89 |
| 179, 17, 10, 59, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 179 x 17 x 10 x 59 x 89 = 8628548220
Therefore, the lowest common multiple of 179,918,540,354,801 is 8628548220.
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.
179 x 918 x 540 x 354 x 801 = 25160846609520
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.
179 : 1, 179
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
354 : 1, 2, 3, 6, 59, 118, 177, 354
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,918,540,354,801, is 1.
Now, the common factors can be found like this.
179:179
918:2x 3x 3x 3x 17
540:2x 2x 3x 3x 3x 5
354:2x 3x 59
801:3x 3x 89
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 3x 3x 3x 3 = 2916
Therefore, the value for common factors is 2916.
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 = 25160846609520/(1x2916)
LCM = 25160846609520/2916
LCM = 8628548220
Thus, we can understand that the LCM of 179,918,540,354,801 is 8628548220.
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FAQs on LCM of 179, 918, 540, 354, 801
1. What is the LCM of 179, 918, 540, 354, 801?
Answer: LCM of 179, 918, 540, 354, 801 is 8628548220.
2. How to calculate the LCM of 179, 918, 540, 354, 801?
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 179, 918, 540, 354, 801.
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}.