LCM of 469, 287, 190, 385, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 287, 190, 385, 758 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 469, 287, 190, 385, 758. So, keep reading to learn more.
Given numbers are 469,287,190,385,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,287,190,385,758 is 15231483190.
Find LCM of 469,287,190,385,758 with Prime Factorization
| 2 | 469, 287, 190, 385, 758 |
| 5 | 469, 287, 95, 385, 379 |
| 7 | 469, 287, 19, 77, 379 |
| 67, 41, 19, 11, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 67 x 41 x 19 x 11 x 379 = 15231483190
Therefore, the lowest common multiple of 469,287,190,385,758 is 15231483190.
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.
469 x 287 x 190 x 385 x 758 = 7463426763100
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.
469 : 1, 7, 67, 469
287 : 1, 7, 41, 287
190 : 1, 2, 5, 10, 19, 38, 95, 190
385 : 1, 5, 7, 11, 35, 55, 77, 385
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,287,190,385,758, is 1.
Now, the common factors can be found like this.
469:7x 67
287:7x 41
190:2x 5x 19
385:5x 7x 11
758:2x 379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 7463426763100/(1x490)
LCM = 7463426763100/490
LCM = 15231483190
Thus, we can understand that the LCM of 469,287,190,385,758 is 15231483190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 469, 287, 190, 385, 758
1. What is the LCM of 469, 287, 190, 385, 758?
Answer: LCM of 469, 287, 190, 385, 758 is 15231483190.
2. How to calculate the LCM of 469, 287, 190, 385, 758?
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 469, 287, 190, 385, 758.
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}.