LCM of 811, 665, 175, 779, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 665, 175, 779, 475 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 811, 665, 175, 779, 475. So, keep reading to learn more.
Given numbers are 811,665,175,779,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,665,175,779,475 is 110559575.
Find LCM of 811,665,175,779,475 with Prime Factorization
| 5 | 811, 665, 175, 779, 475 |
| 5 | 811, 133, 35, 779, 95 |
| 7 | 811, 133, 7, 779, 19 |
| 19 | 811, 19, 1, 779, 19 |
| 811, 1, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 7 x 19 x 811 x 1 x 1 x 41 x 1 = 110559575
Therefore, the lowest common multiple of 811,665,175,779,475 is 110559575.
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.
811 x 665 x 175 x 779 x 475 = 34923005753125
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.
811 : 1, 811
665 : 1, 5, 7, 19, 35, 95, 133, 665
175 : 1, 5, 7, 25, 35, 175
779 : 1, 19, 41, 779
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,665,175,779,475, is 1.
Now, the common factors can be found like this.
811:811
665:5x 7x 19
175:5x 5x 7
779:19x 41
475:5x 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.
5x 5x 5x 7x 19x 19 = 315875
Therefore, the value for common factors is 315875.
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 = 34923005753125/(1x315875)
LCM = 34923005753125/315875
LCM = 110559575
Thus, we can understand that the LCM of 811,665,175,779,475 is 110559575.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 811, 665, 175, 779, 475
1. What is the LCM of 811, 665, 175, 779, 475?
Answer: LCM of 811, 665, 175, 779, 475 is 110559575.
2. How to calculate the LCM of 811, 665, 175, 779, 475?
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 811, 665, 175, 779, 475.
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}.