LCM of 544, 108, 614, 662, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 108, 614, 662, 337 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 544, 108, 614, 662, 337. So, keep reading to learn more.
Given numbers are 544,108,614,662,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,108,614,662,337 is 502989517152.
Find LCM of 544,108,614,662,337 with Prime Factorization
| 2 | 544, 108, 614, 662, 337 |
| 2 | 272, 54, 307, 331, 337 |
| 136, 27, 307, 331, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 136 x 27 x 307 x 331 x 337 = 502989517152
Therefore, the lowest common multiple of 544,108,614,662,337 is 502989517152.
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.
544 x 108 x 614 x 662 x 337 = 8047832274432
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
614 : 1, 2, 307, 614
662 : 1, 2, 331, 662
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,108,614,662,337, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
108:2x 2x 3x 3x 3
614:2x 307
662:2x 331
337:337
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 2 = 16
Therefore, the value for common factors is 16.
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 = 8047832274432/(1x16)
LCM = 8047832274432/16
LCM = 502989517152
Thus, we can understand that the LCM of 544,108,614,662,337 is 502989517152.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 544, 108, 614, 662, 337
1. What is the LCM of 544, 108, 614, 662, 337?
Answer: LCM of 544, 108, 614, 662, 337 is 502989517152.
2. How to calculate the LCM of 544, 108, 614, 662, 337?
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 544, 108, 614, 662, 337.
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}.