LCM of 545, 378, 491, 501, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 545, 378, 491, 501, 109 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, 378, 491, 501, 109. So, keep reading to learn more.
Given numbers are 545,378,491,501,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,378,491,501,109 is 16892201970.
Find LCM of 545,378,491,501,109 with Prime Factorization
| 3 | 545, 378, 491, 501, 109 |
| 109 | 545, 126, 491, 167, 109 |
| 5, 126, 491, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 5 x 126 x 491 x 167 x 1 = 16892201970
Therefore, the lowest common multiple of 545,378,491,501,109 is 16892201970.
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 378 x 491 x 501 x 109 = 5523750044190
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
491 : 1, 491
501 : 1, 3, 167, 501
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,378,491,501,109, is 1.
Now, the common factors can be found like this.
545:5x 109
378:2x 3x 3x 3x 7
491:491
501:3x 167
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 109 = 327
Therefore, the value for common factors is 327.
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 = 5523750044190/(1x327)
LCM = 5523750044190/327
LCM = 16892201970
Thus, we can understand that the LCM of 545,378,491,501,109 is 16892201970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 545, 378, 491, 501, 109
1. What is the LCM of 545, 378, 491, 501, 109?
Answer: LCM of 545, 378, 491, 501, 109 is 16892201970.
2. How to calculate the LCM of 545, 378, 491, 501, 109?
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, 378, 491, 501, 109.
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}.