LCM of 545, 429, 495, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 429, 495, 735 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, 429, 495, 735. So, keep reading to learn more.
Given numbers are 545,429,495,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,429,495,735 is 34369335.
Find LCM of 545,429,495,735 with Prime Factorization
| 3 | 545, 429, 495, 735 |
| 5 | 545, 143, 165, 245 |
| 11 | 109, 143, 33, 49 |
| 109, 13, 3, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 109 x 13 x 3 x 49 = 34369335
Therefore, the lowest common multiple of 545,429,495,735 is 34369335.
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 429 x 495 x 735 = 85064104125
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,429,495,735, is 1.
Now, the common factors can be found like this.
545:5x 109
429:3x 11x 13
495:3x 3x 5x 11
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 11 = 2475
Therefore, the value for common factors is 2475.
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 = 85064104125/(1x2475)
LCM = 85064104125/2475
LCM = 34369335
Thus, we can understand that the LCM of 545,429,495,735 is 34369335.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 545, 429, 495, 735
1. What is the LCM of 545, 429, 495, 735?
Answer: LCM of 545, 429, 495, 735 is 34369335.
2. How to calculate the LCM of 545, 429, 495, 735?
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, 429, 495, 735.
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}.