LCM of 321, 635, 314, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 635, 314, 254 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 321, 635, 314, 254. So, keep reading to learn more.
Given numbers are 321,635,314,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,635,314,254 is 64004190.
Find LCM of 321,635,314,254 with Prime Factorization
| 2 | 321, 635, 314, 254 |
| 127 | 321, 635, 157, 127 |
| 321, 5, 157, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 321 x 5 x 157 x 1 = 64004190
Therefore, the lowest common multiple of 321,635,314,254 is 64004190.
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.
321 x 635 x 314 x 254 = 16257064260
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.
321 : 1, 3, 107, 321
635 : 1, 5, 127, 635
314 : 1, 2, 157, 314
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,635,314,254, is 1.
Now, the common factors can be found like this.
321:3x 107
635:5x 127
314:2x 157
254:2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 127 = 254
Therefore, the value for common factors is 254.
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 = 16257064260/(1x254)
LCM = 16257064260/254
LCM = 64004190
Thus, we can understand that the LCM of 321,635,314,254 is 64004190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 635, 314, 254
1. What is the LCM of 321, 635, 314, 254?
Answer: LCM of 321, 635, 314, 254 is 64004190.
2. How to calculate the LCM of 321, 635, 314, 254?
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 321, 635, 314, 254.
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}.