LCM of 642, 972, 429, 537, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 972, 429, 537, 546 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 642, 972, 429, 537, 546. So, keep reading to learn more.
Given numbers are 642,972,429,537,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,972,429,537,546 is 18635332716.
Find LCM of 642,972,429,537,546 with Prime Factorization
| 2 | 642, 972, 429, 537, 546 |
| 3 | 321, 486, 429, 537, 273 |
| 13 | 107, 162, 143, 179, 91 |
| 107, 162, 11, 179, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 107 x 162 x 11 x 179 x 7 = 18635332716
Therefore, the lowest common multiple of 642,972,429,537,546 is 18635332716.
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.
642 x 972 x 429 x 537 x 546 = 78492021399792
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
429 : 1, 3, 11, 13, 33, 39, 143, 429
537 : 1, 3, 179, 537
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,972,429,537,546, is 3.
Now, the common factors can be found like this.
642:2x 3x 107
972:2x 2x 3x 3x 3x 3x 3
429:3x 11x 13
537:3x 179
546:2x 3x 7x 13
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 13 = 1404
Therefore, the value for common factors is 1404.
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 = 78492021399792/(3x1404)
LCM = 78492021399792/4212
LCM = 18635332716
Thus, we can understand that the LCM of 642,972,429,537,546 is 18635332716.
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FAQs on LCM of 642, 972, 429, 537, 546
1. What is the LCM of 642, 972, 429, 537, 546?
Answer: LCM of 642, 972, 429, 537, 546 is 18635332716.
2. How to calculate the LCM of 642, 972, 429, 537, 546?
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 642, 972, 429, 537, 546.
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}.