LCM of 437, 756, 243, 693, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 756, 243, 693, 642 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 437, 756, 243, 693, 642. So, keep reading to learn more.
Given numbers are 437,756,243,693,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,756,243,693,642 is 3499630596.
Find LCM of 437,756,243,693,642 with Prime Factorization
| 2 | 437, 756, 243, 693, 642 |
| 3 | 437, 378, 243, 693, 321 |
| 3 | 437, 126, 81, 231, 107 |
| 3 | 437, 42, 27, 77, 107 |
| 7 | 437, 14, 9, 77, 107 |
| 437, 2, 9, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 437 x 2 x 9 x 11 x 107 = 3499630596
Therefore, the lowest common multiple of 437,756,243,693,642 is 3499630596.
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.
437 x 756 x 243 x 693 x 642 = 35717229862776
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.
437 : 1, 19, 23, 437
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
243 : 1, 3, 9, 27, 81, 243
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,756,243,693,642, is 1.
Now, the common factors can be found like this.
437:19x 23
756:2x 2x 3x 3x 3x 7
243:3x 3x 3x 3x 3
693:3x 3x 7x 11
642:2x 3x 107
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 3x 3x 3x 3x 7 = 10206
Therefore, the value for common factors is 10206.
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 = 35717229862776/(1x10206)
LCM = 35717229862776/10206
LCM = 3499630596
Thus, we can understand that the LCM of 437,756,243,693,642 is 3499630596.
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FAQs on LCM of 437, 756, 243, 693, 642
1. What is the LCM of 437, 756, 243, 693, 642?
Answer: LCM of 437, 756, 243, 693, 642 is 3499630596.
2. How to calculate the LCM of 437, 756, 243, 693, 642?
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 437, 756, 243, 693, 642.
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}.