LCM of 287, 770, 175, 615, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 770, 175, 615, 469 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 287, 770, 175, 615, 469. So, keep reading to learn more.
Given numbers are 287,770,175,615,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,770,175,615,469 is 31727850.
Find LCM of 287,770,175,615,469 with Prime Factorization
| 5 | 287, 770, 175, 615, 469 |
| 7 | 287, 154, 35, 123, 469 |
| 41 | 41, 22, 5, 123, 67 |
| 1, 22, 5, 3, 67 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 41 x 1 x 22 x 5 x 3 x 67 = 31727850
Therefore, the lowest common multiple of 287,770,175,615,469 is 31727850.
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.
287 x 770 x 175 x 615 x 469 = 11154718863750
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.
287 : 1, 7, 41, 287
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
175 : 1, 5, 7, 25, 35, 175
615 : 1, 3, 5, 15, 41, 123, 205, 615
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,770,175,615,469, is 1.
Now, the common factors can be found like this.
287:7x 41
770:2x 5x 7x 11
175:5x 5x 7
615:3x 5x 41
469:7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 7x 7x 41 = 351575
Therefore, the value for common factors is 351575.
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 = 11154718863750/(1x351575)
LCM = 11154718863750/351575
LCM = 31727850
Thus, we can understand that the LCM of 287,770,175,615,469 is 31727850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 287, 770, 175, 615, 469
1. What is the LCM of 287, 770, 175, 615, 469?
Answer: LCM of 287, 770, 175, 615, 469 is 31727850.
2. How to calculate the LCM of 287, 770, 175, 615, 469?
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 287, 770, 175, 615, 469.
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}.