LCM of 543, 136, 430, 905, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 136, 430, 905, 448 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, 136, 430, 905, 448. So, keep reading to learn more.
Given numbers are 543,136,430,905,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,136,430,905,448 is 889129920.
Find LCM of 543,136,430,905,448 with Prime Factorization
| 2 | 543, 136, 430, 905, 448 |
| 2 | 543, 68, 215, 905, 224 |
| 2 | 543, 34, 215, 905, 112 |
| 5 | 543, 17, 215, 905, 56 |
| 181 | 543, 17, 43, 181, 56 |
| 3, 17, 43, 1, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 181 x 3 x 17 x 43 x 1 x 56 = 889129920
Therefore, the lowest common multiple of 543,136,430,905,448 is 889129920.
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 136 x 430 x 905 x 448 = 12874601241600
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
136 : 1, 2, 4, 8, 17, 34, 68, 136
430 : 1, 2, 5, 10, 43, 86, 215, 430
905 : 1, 5, 181, 905
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,136,430,905,448, is 1.
Now, the common factors can be found like this.
543:3x 181
136:2x 2x 2x 17
430:2x 5x 43
905:5x 181
448:2x 2x 2x 2x 2x 2x 7
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 5x 181 = 14480
Therefore, the value for common factors is 14480.
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 = 12874601241600/(1x14480)
LCM = 12874601241600/14480
LCM = 889129920
Thus, we can understand that the LCM of 543,136,430,905,448 is 889129920.
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FAQs on LCM of 543, 136, 430, 905, 448
1. What is the LCM of 543, 136, 430, 905, 448?
Answer: LCM of 543, 136, 430, 905, 448 is 889129920.
2. How to calculate the LCM of 543, 136, 430, 905, 448?
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, 136, 430, 905, 448.
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}.