LCM of 764, 280, 212, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 280, 212, 310 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 764, 280, 212, 310. So, keep reading to learn more.
Given numbers are 764,280,212,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,280,212,310 is 87867640.
Find LCM of 764,280,212,310 with Prime Factorization
| 2 | 764, 280, 212, 310 |
| 2 | 382, 140, 106, 155 |
| 5 | 191, 70, 53, 155 |
| 191, 14, 53, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 191 x 14 x 53 x 31 = 87867640
Therefore, the lowest common multiple of 764,280,212,310 is 87867640.
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.
764 x 280 x 212 x 310 = 14058822400
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.
764 : 1, 2, 4, 191, 382, 764
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
212 : 1, 2, 4, 53, 106, 212
310 : 1, 2, 5, 10, 31, 62, 155, 310
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,280,212,310, is 2.
Now, the common factors can be found like this.
764:2x 2x 191
280:2x 2x 2x 5x 7
212:2x 2x 53
310:2x 5x 31
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 14058822400/(2x80)
LCM = 14058822400/160
LCM = 87867640
Thus, we can understand that the LCM of 764,280,212,310 is 87867640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 280, 212, 310
1. What is the LCM of 764, 280, 212, 310?
Answer: LCM of 764, 280, 212, 310 is 87867640.
2. How to calculate the LCM of 764, 280, 212, 310?
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 764, 280, 212, 310.
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}.