LCM of 635, 901, 621, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 901, 621, 414 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 635, 901, 621, 414. So, keep reading to learn more.
Given numbers are 635,901,621,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,901,621,414 is 710591670.
Find LCM of 635,901,621,414 with Prime Factorization
| 3 | 635, 901, 621, 414 |
| 3 | 635, 901, 207, 138 |
| 23 | 635, 901, 69, 46 |
| 635, 901, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 635 x 901 x 3 x 2 = 710591670
Therefore, the lowest common multiple of 635,901,621,414 is 710591670.
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.
635 x 901 x 621 x 414 = 147092475690
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.
635 : 1, 5, 127, 635
901 : 1, 17, 53, 901
621 : 1, 3, 9, 23, 27, 69, 207, 621
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,901,621,414, is 1.
Now, the common factors can be found like this.
635:5x 127
901:17x 53
621:3x 3x 3x 23
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 147092475690/(1x207)
LCM = 147092475690/207
LCM = 710591670
Thus, we can understand that the LCM of 635,901,621,414 is 710591670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 901, 621, 414
1. What is the LCM of 635, 901, 621, 414?
Answer: LCM of 635, 901, 621, 414 is 710591670.
2. How to calculate the LCM of 635, 901, 621, 414?
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 635, 901, 621, 414.
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}.