LCM of 737, 397, 588, 462, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 397, 588, 462, 539 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 737, 397, 588, 462, 539. So, keep reading to learn more.
Given numbers are 737,397,588,462,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,397,588,462,539 is 172042332.
Find LCM of 737,397,588,462,539 with Prime Factorization
| 2 | 737, 397, 588, 462, 539 |
| 3 | 737, 397, 294, 231, 539 |
| 7 | 737, 397, 98, 77, 539 |
| 7 | 737, 397, 14, 11, 77 |
| 11 | 737, 397, 2, 11, 11 |
| 67, 397, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 11 x 67 x 397 x 2 x 1 x 1 = 172042332
Therefore, the lowest common multiple of 737,397,588,462,539 is 172042332.
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.
737 x 397 x 588 x 462 x 539 = 42841637429976
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.
737 : 1, 11, 67, 737
397 : 1, 397
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,397,588,462,539, is 1.
Now, the common factors can be found like this.
737:11x 67
397:397
588:2x 2x 3x 7x 7
462:2x 3x 7x 11
539:7x 7x 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 3x 7x 7x 7x 11x 11 = 249018
Therefore, the value for common factors is 249018.
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 = 42841637429976/(1x249018)
LCM = 42841637429976/249018
LCM = 172042332
Thus, we can understand that the LCM of 737,397,588,462,539 is 172042332.
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FAQs on LCM of 737, 397, 588, 462, 539
1. What is the LCM of 737, 397, 588, 462, 539?
Answer: LCM of 737, 397, 588, 462, 539 is 172042332.
2. How to calculate the LCM of 737, 397, 588, 462, 539?
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 737, 397, 588, 462, 539.
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}.