LCM of 635, 412, 310, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 412, 310, 760 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, 412, 310, 760. So, keep reading to learn more.
Given numbers are 635,412,310,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,412,310,760 is 308188360.
Find LCM of 635,412,310,760 with Prime Factorization
| 2 | 635, 412, 310, 760 |
| 2 | 635, 206, 155, 380 |
| 5 | 635, 103, 155, 190 |
| 127, 103, 31, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 127 x 103 x 31 x 38 = 308188360
Therefore, the lowest common multiple of 635,412,310,760 is 308188360.
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 412 x 310 x 760 = 61637672000
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
412 : 1, 2, 4, 103, 206, 412
310 : 1, 2, 5, 10, 31, 62, 155, 310
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,412,310,760, is 1.
Now, the common factors can be found like this.
635:5x 127
412:2x 2x 103
310:2x 5x 31
760:2x 2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 61637672000/(1x200)
LCM = 61637672000/200
LCM = 308188360
Thus, we can understand that the LCM of 635,412,310,760 is 308188360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 412, 310, 760
1. What is the LCM of 635, 412, 310, 760?
Answer: LCM of 635, 412, 310, 760 is 308188360.
2. How to calculate the LCM of 635, 412, 310, 760?
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, 412, 310, 760.
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}.