LCM of 665, 646, 255, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 646, 255, 421 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 665, 646, 255, 421. So, keep reading to learn more.
Given numbers are 665,646,255,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,646,255,421 is 28556430.
Find LCM of 665,646,255,421 with Prime Factorization
| 5 | 665, 646, 255, 421 |
| 17 | 133, 646, 51, 421 |
| 19 | 133, 38, 3, 421 |
| 7, 2, 3, 421 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 19 x 7 x 2 x 3 x 421 = 28556430
Therefore, the lowest common multiple of 665,646,255,421 is 28556430.
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.
665 x 646 x 255 x 421 = 46118634450
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
646 : 1, 2, 17, 19, 34, 38, 323, 646
255 : 1, 3, 5, 15, 17, 51, 85, 255
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,646,255,421, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
646:2x 17x 19
255:3x 5x 17
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 19 = 1615
Therefore, the value for common factors is 1615.
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 = 46118634450/(1x1615)
LCM = 46118634450/1615
LCM = 28556430
Thus, we can understand that the LCM of 665,646,255,421 is 28556430.
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FAQs on LCM of 665, 646, 255, 421
1. What is the LCM of 665, 646, 255, 421?
Answer: LCM of 665, 646, 255, 421 is 28556430.
2. How to calculate the LCM of 665, 646, 255, 421?
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 665, 646, 255, 421.
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}.