LCM of 684, 546, 437, 943, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 546, 437, 943, 542 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 684, 546, 437, 943, 542. So, keep reading to learn more.
Given numbers are 684,546,437,943,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,546,437,943,542 is 15906640932.
Find LCM of 684,546,437,943,542 with Prime Factorization
| 2 | 684, 546, 437, 943, 542 |
| 3 | 342, 273, 437, 943, 271 |
| 19 | 114, 91, 437, 943, 271 |
| 23 | 6, 91, 23, 943, 271 |
| 6, 91, 1, 41, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 6 x 91 x 1 x 41 x 271 = 15906640932
Therefore, the lowest common multiple of 684,546,437,943,542 is 15906640932.
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.
684 x 546 x 437 x 943 x 542 = 83414425047408
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
437 : 1, 19, 23, 437
943 : 1, 23, 41, 943
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,546,437,943,542, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
546:2x 3x 7x 13
437:19x 23
943:23x 41
542:2x 271
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 19x 23 = 5244
Therefore, the value for common factors is 5244.
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 = 83414425047408/(1x5244)
LCM = 83414425047408/5244
LCM = 15906640932
Thus, we can understand that the LCM of 684,546,437,943,542 is 15906640932.
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FAQs on LCM of 684, 546, 437, 943, 542
1. What is the LCM of 684, 546, 437, 943, 542?
Answer: LCM of 684, 546, 437, 943, 542 is 15906640932.
2. How to calculate the LCM of 684, 546, 437, 943, 542?
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 684, 546, 437, 943, 542.
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}.