LCM of 264, 469, 840, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 469, 840, 412 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 264, 469, 840, 412. So, keep reading to learn more.
Given numbers are 264,469,840,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,469,840,412 is 63765240.
Find LCM of 264,469,840,412 with Prime Factorization
| 2 | 264, 469, 840, 412 |
| 2 | 132, 469, 420, 206 |
| 2 | 66, 469, 210, 103 |
| 3 | 33, 469, 105, 103 |
| 7 | 11, 469, 35, 103 |
| 11, 67, 5, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 67 x 5 x 103 = 63765240
Therefore, the lowest common multiple of 264,469,840,412 is 63765240.
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.
264 x 469 x 840 x 412 = 42850241280
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
469 : 1, 7, 67, 469
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,469,840,412, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
469:7x 67
840:2x 2x 2x 3x 5x 7
412:2x 2x 103
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 42850241280/(1x672)
LCM = 42850241280/672
LCM = 63765240
Thus, we can understand that the LCM of 264,469,840,412 is 63765240.
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FAQs on LCM of 264, 469, 840, 412
1. What is the LCM of 264, 469, 840, 412?
Answer: LCM of 264, 469, 840, 412 is 63765240.
2. How to calculate the LCM of 264, 469, 840, 412?
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 264, 469, 840, 412.
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}.