LCM of 472, 614, 738, 824, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 614, 738, 824, 944 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 472, 614, 738, 824, 944. So, keep reading to learn more.
Given numbers are 472,614,738,824,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,614,738,824,944 is 11014732656.
Find LCM of 472,614,738,824,944 with Prime Factorization
| 2 | 472, 614, 738, 824, 944 |
| 2 | 236, 307, 369, 412, 472 |
| 2 | 118, 307, 369, 206, 236 |
| 59 | 59, 307, 369, 103, 118 |
| 1, 307, 369, 103, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 59 x 1 x 307 x 369 x 103 x 2 = 11014732656
Therefore, the lowest common multiple of 472,614,738,824,944 is 11014732656.
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.
472 x 614 x 738 x 824 x 944 = 166366522036224
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
614 : 1, 2, 307, 614
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
824 : 1, 2, 4, 8, 103, 206, 412, 824
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,614,738,824,944, is 2.
Now, the common factors can be found like this.
472:2x 2x 2x 59
614:2x 307
738:2x 3x 3x 41
824:2x 2x 2x 103
944:2x 2x 2x 2x 59
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 2x 2x 59 = 7552
Therefore, the value for common factors is 7552.
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 = 166366522036224/(2x7552)
LCM = 166366522036224/15104
LCM = 11014732656
Thus, we can understand that the LCM of 472,614,738,824,944 is 11014732656.
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FAQs on LCM of 472, 614, 738, 824, 944
1. What is the LCM of 472, 614, 738, 824, 944?
Answer: LCM of 472, 614, 738, 824, 944 is 11014732656.
2. How to calculate the LCM of 472, 614, 738, 824, 944?
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 472, 614, 738, 824, 944.
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}.