LCM of 497, 901, 221, 755, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 901, 221, 755, 385 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 497, 901, 221, 755, 385. So, keep reading to learn more.
Given numbers are 497,901,221,755,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,901,221,755,385 is 48346403105.
Find LCM of 497,901,221,755,385 with Prime Factorization
| 5 | 497, 901, 221, 755, 385 |
| 7 | 497, 901, 221, 151, 77 |
| 17 | 71, 901, 221, 151, 11 |
| 71, 53, 13, 151, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 71 x 53 x 13 x 151 x 11 = 48346403105
Therefore, the lowest common multiple of 497,901,221,755,385 is 48346403105.
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.
497 x 901 x 221 x 755 x 385 = 28766109847475
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.
497 : 1, 7, 71, 497
901 : 1, 17, 53, 901
221 : 1, 13, 17, 221
755 : 1, 5, 151, 755
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,901,221,755,385, is 1.
Now, the common factors can be found like this.
497:7x 71
901:17x 53
221:13x 17
755:5x 151
385:5x 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.
5x 7x 17 = 595
Therefore, the value for common factors is 595.
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 = 28766109847475/(1x595)
LCM = 28766109847475/595
LCM = 48346403105
Thus, we can understand that the LCM of 497,901,221,755,385 is 48346403105.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 497, 901, 221, 755, 385
1. What is the LCM of 497, 901, 221, 755, 385?
Answer: LCM of 497, 901, 221, 755, 385 is 48346403105.
2. How to calculate the LCM of 497, 901, 221, 755, 385?
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 497, 901, 221, 755, 385.
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}.