LCM of 486, 805, 909, 735, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 805, 909, 735, 476 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, 805, 909, 735, 476. So, keep reading to learn more.
Given numbers are 486,805,909,735,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,805,909,735,476 is 9404386740.
Find LCM of 486,805,909,735,476 with Prime Factorization
| 2 | 486, 805, 909, 735, 476 |
| 3 | 243, 805, 909, 735, 238 |
| 3 | 81, 805, 303, 245, 238 |
| 5 | 27, 805, 101, 245, 238 |
| 7 | 27, 161, 101, 49, 238 |
| 27, 23, 101, 7, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 27 x 23 x 101 x 7 x 34 = 9404386740
Therefore, the lowest common multiple of 486,805,909,735,476 is 9404386740.
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 805 x 909 x 735 x 476 = 124420036570200
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
805 : 1, 5, 7, 23, 35, 115, 161, 805
909 : 1, 3, 9, 101, 303, 909
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,805,909,735,476, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
805:5x 7x 23
909:3x 3x 101
735:3x 5x 7x 7
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 7 = 13230
Therefore, the value for common factors is 13230.
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 = 124420036570200/(1x13230)
LCM = 124420036570200/13230
LCM = 9404386740
Thus, we can understand that the LCM of 486,805,909,735,476 is 9404386740.
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FAQs on LCM of 486, 805, 909, 735, 476
1. What is the LCM of 486, 805, 909, 735, 476?
Answer: LCM of 486, 805, 909, 735, 476 is 9404386740.
2. How to calculate the LCM of 486, 805, 909, 735, 476?
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, 805, 909, 735, 476.
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}.