LCM of 437, 614, 759, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 614, 759, 165 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, 614, 759, 165. So, keep reading to learn more.
Given numbers are 437,614,759,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,614,759,165 is 44272470.
Find LCM of 437,614,759,165 with Prime Factorization
| 3 | 437, 614, 759, 165 |
| 11 | 437, 614, 253, 55 |
| 23 | 437, 614, 23, 5 |
| 19, 614, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 19 x 614 x 1 x 5 = 44272470
Therefore, the lowest common multiple of 437,614,759,165 is 44272470.
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 614 x 759 x 165 = 33602804730
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
614 : 1, 2, 307, 614
759 : 1, 3, 11, 23, 33, 69, 253, 759
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,614,759,165, is 1.
Now, the common factors can be found like this.
437:19x 23
614:2x 307
759:3x 11x 23
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 23 = 759
Therefore, the value for common factors is 759.
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 = 33602804730/(1x759)
LCM = 33602804730/759
LCM = 44272470
Thus, we can understand that the LCM of 437,614,759,165 is 44272470.
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FAQs on LCM of 437, 614, 759, 165
1. What is the LCM of 437, 614, 759, 165?
Answer: LCM of 437, 614, 759, 165 is 44272470.
2. How to calculate the LCM of 437, 614, 759, 165?
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, 614, 759, 165.
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}.