LCM of 243, 476, 540, 606, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 476, 540, 606, 639 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 243, 476, 540, 606, 639. So, keep reading to learn more.
Given numbers are 243,476,540,606,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,476,540,606,639 is 4147276140.
Find LCM of 243,476,540,606,639 with Prime Factorization
| 2 | 243, 476, 540, 606, 639 |
| 2 | 243, 238, 270, 303, 639 |
| 3 | 243, 119, 135, 303, 639 |
| 3 | 81, 119, 45, 101, 213 |
| 3 | 27, 119, 15, 101, 71 |
| 9, 119, 5, 101, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 9 x 119 x 5 x 101 x 71 = 4147276140
Therefore, the lowest common multiple of 243,476,540,606,639 is 4147276140.
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.
243 x 476 x 540 x 606 x 639 = 24186914448480
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.
243 : 1, 3, 9, 27, 81, 243
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
606 : 1, 2, 3, 6, 101, 202, 303, 606
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,476,540,606,639, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
476:2x 2x 7x 17
540:2x 2x 3x 3x 3x 5
606:2x 3x 101
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 3x 3 = 5832
Therefore, the value for common factors is 5832.
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 = 24186914448480/(1x5832)
LCM = 24186914448480/5832
LCM = 4147276140
Thus, we can understand that the LCM of 243,476,540,606,639 is 4147276140.
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FAQs on LCM of 243, 476, 540, 606, 639
1. What is the LCM of 243, 476, 540, 606, 639?
Answer: LCM of 243, 476, 540, 606, 639 is 4147276140.
2. How to calculate the LCM of 243, 476, 540, 606, 639?
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 243, 476, 540, 606, 639.
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}.