LCM of 407, 635, 555, 519, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 635, 555, 519, 456 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 407, 635, 555, 519, 456. So, keep reading to learn more.
Given numbers are 407,635,555,519,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,635,555,519,456 is 20388209160.
Find LCM of 407,635,555,519,456 with Prime Factorization
| 3 | 407, 635, 555, 519, 456 |
| 5 | 407, 635, 185, 173, 152 |
| 37 | 407, 127, 37, 173, 152 |
| 11, 127, 1, 173, 152 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 37 x 11 x 127 x 1 x 173 x 152 = 20388209160
Therefore, the lowest common multiple of 407,635,555,519,456 is 20388209160.
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.
407 x 635 x 555 x 519 x 456 = 33946368251400
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.
407 : 1, 11, 37, 407
635 : 1, 5, 127, 635
555 : 1, 3, 5, 15, 37, 111, 185, 555
519 : 1, 3, 173, 519
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,635,555,519,456, is 1.
Now, the common factors can be found like this.
407:11x 37
635:5x 127
555:3x 5x 37
519:3x 173
456:2x 2x 2x 3x 19
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 5x 37 = 1665
Therefore, the value for common factors is 1665.
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 = 33946368251400/(1x1665)
LCM = 33946368251400/1665
LCM = 20388209160
Thus, we can understand that the LCM of 407,635,555,519,456 is 20388209160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 407, 635, 555, 519, 456
1. What is the LCM of 407, 635, 555, 519, 456?
Answer: LCM of 407, 635, 555, 519, 456 is 20388209160.
2. How to calculate the LCM of 407, 635, 555, 519, 456?
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 407, 635, 555, 519, 456.
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}.