LCM of 434, 543, 654, 826, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 543, 654, 826, 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 434, 543, 654, 826, 944. So, keep reading to learn more.
Given numbers are 434,543,654,826,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,543,654,826,944 is 12124338576.
Find LCM of 434,543,654,826,944 with Prime Factorization
| 2 | 434, 543, 654, 826, 944 |
| 3 | 217, 543, 327, 413, 472 |
| 7 | 217, 181, 109, 413, 472 |
| 59 | 31, 181, 109, 59, 472 |
| 31, 181, 109, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 59 x 31 x 181 x 109 x 1 x 8 = 12124338576
Therefore, the lowest common multiple of 434,543,654,826,944 is 12124338576.
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.
434 x 543 x 654 x 826 x 944 = 120176443965312
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
543 : 1, 3, 181, 543
654 : 1, 2, 3, 6, 109, 218, 327, 654
826 : 1, 2, 7, 14, 59, 118, 413, 826
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,543,654,826,944, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
543:3x 181
654:2x 3x 109
826:2x 7x 59
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 3x 7x 59 = 9912
Therefore, the value for common factors is 9912.
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 = 120176443965312/(1x9912)
LCM = 120176443965312/9912
LCM = 12124338576
Thus, we can understand that the LCM of 434,543,654,826,944 is 12124338576.
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FAQs on LCM of 434, 543, 654, 826, 944
1. What is the LCM of 434, 543, 654, 826, 944?
Answer: LCM of 434, 543, 654, 826, 944 is 12124338576.
2. How to calculate the LCM of 434, 543, 654, 826, 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 434, 543, 654, 826, 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}.