LCM of 543, 724, 834, 454, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 724, 834, 454, 689 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 543, 724, 834, 454, 689. So, keep reading to learn more.
Given numbers are 543,724,834,454,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,724,834,454,689 is 47219316924.
Find LCM of 543,724,834,454,689 with Prime Factorization
| 2 | 543, 724, 834, 454, 689 |
| 3 | 543, 362, 417, 227, 689 |
| 181 | 181, 362, 139, 227, 689 |
| 1, 2, 139, 227, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 1 x 2 x 139 x 227 x 689 = 47219316924
Therefore, the lowest common multiple of 543,724,834,454,689 is 47219316924.
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.
543 x 724 x 834 x 454 x 689 = 102560356358928
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.
543 : 1, 3, 181, 543
724 : 1, 2, 4, 181, 362, 724
834 : 1, 2, 3, 6, 139, 278, 417, 834
454 : 1, 2, 227, 454
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,724,834,454,689, is 1.
Now, the common factors can be found like this.
543:3x 181
724:2x 2x 181
834:2x 3x 139
454:2x 227
689:13x 53
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 3x 181 = 2172
Therefore, the value for common factors is 2172.
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 = 102560356358928/(1x2172)
LCM = 102560356358928/2172
LCM = 47219316924
Thus, we can understand that the LCM of 543,724,834,454,689 is 47219316924.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 724, 834, 454, 689
1. What is the LCM of 543, 724, 834, 454, 689?
Answer: LCM of 543, 724, 834, 454, 689 is 47219316924.
2. How to calculate the LCM of 543, 724, 834, 454, 689?
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 543, 724, 834, 454, 689.
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}.