LCM of 486, 969, 275, 175, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 969, 275, 175, 685 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 486, 969, 275, 175, 685. So, keep reading to learn more.
Given numbers are 486,969,275,175,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,969,275,175,685 is 41399023050.
Find LCM of 486,969,275,175,685 with Prime Factorization
| 3 | 486, 969, 275, 175, 685 |
| 5 | 162, 323, 275, 175, 685 |
| 5 | 162, 323, 55, 35, 137 |
| 162, 323, 11, 7, 137 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 162 x 323 x 11 x 7 x 137 = 41399023050
Therefore, the lowest common multiple of 486,969,275,175,685 is 41399023050.
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.
486 x 969 x 275 x 175 x 685 = 15524633643750
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
969 : 1, 3, 17, 19, 51, 57, 323, 969
275 : 1, 5, 11, 25, 55, 275
175 : 1, 5, 7, 25, 35, 175
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,969,275,175,685, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
969:3x 17x 19
275:5x 5x 11
175:5x 5x 7
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 15524633643750/(1x375)
LCM = 15524633643750/375
LCM = 41399023050
Thus, we can understand that the LCM of 486,969,275,175,685 is 41399023050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 969, 275, 175, 685
1. What is the LCM of 486, 969, 275, 175, 685?
Answer: LCM of 486, 969, 275, 175, 685 is 41399023050.
2. How to calculate the LCM of 486, 969, 275, 175, 685?
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 486, 969, 275, 175, 685.
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}.