LCM of 545, 165, 398, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 165, 398, 176 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 545, 165, 398, 176. So, keep reading to learn more.
Given numbers are 545,165,398,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,165,398,176 is 57264240.
Find LCM of 545,165,398,176 with Prime Factorization
| 2 | 545, 165, 398, 176 |
| 5 | 545, 165, 199, 88 |
| 11 | 109, 33, 199, 88 |
| 109, 3, 199, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 109 x 3 x 199 x 8 = 57264240
Therefore, the lowest common multiple of 545,165,398,176 is 57264240.
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.
545 x 165 x 398 x 176 = 6299066400
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.
545 : 1, 5, 109, 545
165 : 1, 3, 5, 11, 15, 33, 55, 165
398 : 1, 2, 199, 398
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,165,398,176, is 1.
Now, the common factors can be found like this.
545:5x 109
165:3x 5x 11
398:2x 199
176:2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 6299066400/(1x110)
LCM = 6299066400/110
LCM = 57264240
Thus, we can understand that the LCM of 545,165,398,176 is 57264240.
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FAQs on LCM of 545, 165, 398, 176
1. What is the LCM of 545, 165, 398, 176?
Answer: LCM of 545, 165, 398, 176 is 57264240.
2. How to calculate the LCM of 545, 165, 398, 176?
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 545, 165, 398, 176.
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}.