LCM of 545, 510, 165, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 510, 165, 342 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, 510, 165, 342. So, keep reading to learn more.
Given numbers are 545,510,165,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,510,165,342 is 34854930.
Find LCM of 545,510,165,342 with Prime Factorization
| 2 | 545, 510, 165, 342 |
| 3 | 545, 255, 165, 171 |
| 5 | 545, 85, 55, 57 |
| 109, 17, 11, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 17 x 11 x 57 = 34854930
Therefore, the lowest common multiple of 545,510,165,342 is 34854930.
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 510 x 165 x 342 = 15684718500
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
165 : 1, 3, 5, 11, 15, 33, 55, 165
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,510,165,342, is 1.
Now, the common factors can be found like this.
545:5x 109
510:2x 3x 5x 17
165:3x 5x 11
342:2x 3x 3x 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 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 15684718500/(1x450)
LCM = 15684718500/450
LCM = 34854930
Thus, we can understand that the LCM of 545,510,165,342 is 34854930.
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FAQs on LCM of 545, 510, 165, 342
1. What is the LCM of 545, 510, 165, 342?
Answer: LCM of 545, 510, 165, 342 is 34854930.
2. How to calculate the LCM of 545, 510, 165, 342?
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, 510, 165, 342.
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}.