Find the LCM of 543, 856, 472, 121, 177 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, 856, 472, 121, 177. So, keep reading to learn more.
Given numbers are 543,856,472,121,177
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,856,472,121,177 is 3318264312.
Find LCM of 543,856,472,121,177 with Prime Factorization
2 | 543, 856, 472, 121, 177 |
2 | 543, 428, 236, 121, 177 |
2 | 543, 214, 118, 121, 177 |
3 | 543, 107, 59, 121, 177 |
59 | 181, 107, 59, 121, 59 |
181, 107, 1, 121, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 59 x 181 x 107 x 1 x 121 x 1 = 3318264312
Therefore, the lowest common multiple of 543,856,472,121,177 is 3318264312.
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 856 x 472 x 121 x 177 = 4698662265792
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
472 : 1, 2, 4, 8, 59, 118, 236, 472
121 : 1, 11, 121
177 : 1, 3, 59, 177
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,856,472,121,177, is 1.
Now, the common factors can be found like this.
543:3x 181
856:2x 2x 2x 107
472:2x 2x 2x 59
121:11x 11
177:3x 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 59 = 1416
Therefore, the value for common factors is 1416.
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 = 4698662265792/(1x1416)
LCM = 4698662265792/1416
LCM = 3318264312
Thus, we can understand that the LCM of 543,856,472,121,177 is 3318264312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 543, 856, 472, 121, 177?
Answer: LCM of 543, 856, 472, 121, 177 is 3318264312.
2. How to calculate the LCM of 543, 856, 472, 121, 177?
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, 856, 472, 121, 177.
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}.