LCM of 649, 210, 143, 594, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 210, 143, 594, 405 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 649, 210, 143, 594, 405. So, keep reading to learn more.
Given numbers are 649,210,143,594,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,210,143,594,405 is 47837790.
Find LCM of 649,210,143,594,405 with Prime Factorization
| 2 | 649, 210, 143, 594, 405 |
| 3 | 649, 105, 143, 297, 405 |
| 3 | 649, 35, 143, 99, 135 |
| 3 | 649, 35, 143, 33, 45 |
| 5 | 649, 35, 143, 11, 15 |
| 11 | 649, 7, 143, 11, 3 |
| 59, 7, 13, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 11 x 59 x 7 x 13 x 1 x 3 = 47837790
Therefore, the lowest common multiple of 649,210,143,594,405 is 47837790.
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.
649 x 210 x 143 x 594 x 405 = 4688581797900
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.
649 : 1, 11, 59, 649
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
143 : 1, 11, 13, 143
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,210,143,594,405, is 1.
Now, the common factors can be found like this.
649:11x 59
210:2x 3x 5x 7
143:11x 13
594:2x 3x 3x 3x 11
405:3x 3x 3x 3x 5
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 3x 5x 11x 11 = 98010
Therefore, the value for common factors is 98010.
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 = 4688581797900/(1x98010)
LCM = 4688581797900/98010
LCM = 47837790
Thus, we can understand that the LCM of 649,210,143,594,405 is 47837790.
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FAQs on LCM of 649, 210, 143, 594, 405
1. What is the LCM of 649, 210, 143, 594, 405?
Answer: LCM of 649, 210, 143, 594, 405 is 47837790.
2. How to calculate the LCM of 649, 210, 143, 594, 405?
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 649, 210, 143, 594, 405.
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}.