LCM of 532, 693, 437, 648, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 693, 437, 648, 242 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 532, 693, 437, 648, 242. So, keep reading to learn more.
Given numbers are 532,693,437,648,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,693,437,648,242 is 239850072.
Find LCM of 532,693,437,648,242 with Prime Factorization
| 2 | 532, 693, 437, 648, 242 |
| 2 | 266, 693, 437, 324, 121 |
| 3 | 133, 693, 437, 162, 121 |
| 3 | 133, 231, 437, 54, 121 |
| 7 | 133, 77, 437, 18, 121 |
| 11 | 19, 11, 437, 18, 121 |
| 19 | 19, 1, 437, 18, 11 |
| 1, 1, 23, 18, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 19 x 1 x 1 x 23 x 18 x 11 = 239850072
Therefore, the lowest common multiple of 532,693,437,648,242 is 239850072.
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.
532 x 693 x 437 x 648 x 242 = 25264847184192
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
437 : 1, 19, 23, 437
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,693,437,648,242, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
693:3x 3x 7x 11
437:19x 23
648:2x 2x 2x 3x 3x 3x 3
242:2x 11x 11
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 2x 3x 3x 7x 11x 19 = 105336
Therefore, the value for common factors is 105336.
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 = 25264847184192/(1x105336)
LCM = 25264847184192/105336
LCM = 239850072
Thus, we can understand that the LCM of 532,693,437,648,242 is 239850072.
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FAQs on LCM of 532, 693, 437, 648, 242
1. What is the LCM of 532, 693, 437, 648, 242?
Answer: LCM of 532, 693, 437, 648, 242 is 239850072.
2. How to calculate the LCM of 532, 693, 437, 648, 242?
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 532, 693, 437, 648, 242.
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}.