LCM of 543, 957, 673, 826, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 957, 673, 826, 406 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, 957, 673, 826, 406. So, keep reading to learn more.
Given numbers are 543,957,673,826,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,957,673,826,406 is 96290983866.
Find LCM of 543,957,673,826,406 with Prime Factorization
| 2 | 543, 957, 673, 826, 406 |
| 3 | 543, 957, 673, 413, 203 |
| 7 | 181, 319, 673, 413, 203 |
| 29 | 181, 319, 673, 59, 29 |
| 181, 11, 673, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 181 x 11 x 673 x 59 x 1 = 96290983866
Therefore, the lowest common multiple of 543,957,673,826,406 is 96290983866.
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 957 x 673 x 826 x 406 = 117282418348788
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
673 : 1, 673
826 : 1, 2, 7, 14, 59, 118, 413, 826
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,957,673,826,406, is 1.
Now, the common factors can be found like this.
543:3x 181
957:3x 11x 29
673:673
826:2x 7x 59
406:2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 29 = 1218
Therefore, the value for common factors is 1218.
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 = 117282418348788/(1x1218)
LCM = 117282418348788/1218
LCM = 96290983866
Thus, we can understand that the LCM of 543,957,673,826,406 is 96290983866.
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FAQs on LCM of 543, 957, 673, 826, 406
1. What is the LCM of 543, 957, 673, 826, 406?
Answer: LCM of 543, 957, 673, 826, 406 is 96290983866.
2. How to calculate the LCM of 543, 957, 673, 826, 406?
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, 957, 673, 826, 406.
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}.