Find the LCM of 542, 184, 932, 247 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 542, 184, 932, 247. So, keep reading to learn more.
Given numbers are 542,184,932,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,184,932,247 is 2869723064.
Find LCM of 542,184,932,247 with Prime Factorization
2 | 542, 184, 932, 247 |
2 | 271, 92, 466, 247 |
271, 46, 233, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 271 x 46 x 233 x 247 = 2869723064
Therefore, the lowest common multiple of 542,184,932,247 is 2869723064.
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.
542 x 184 x 932 x 247 = 22957784512
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.
542 : 1, 2, 271, 542
184 : 1, 2, 4, 8, 23, 46, 92, 184
932 : 1, 2, 4, 233, 466, 932
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,184,932,247, is 1.
Now, the common factors can be found like this.
542:2x 271
184:2x 2x 2x 23
932:2x 2x 233
247:13x 19
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 2 = 8
Therefore, the value for common factors is 8.
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 = 22957784512/(1x8)
LCM = 22957784512/8
LCM = 2869723064
Thus, we can understand that the LCM of 542,184,932,247 is 2869723064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 184, 932, 247?
Answer: LCM of 542, 184, 932, 247 is 2869723064.
2. How to calculate the LCM of 542, 184, 932, 247?
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 542, 184, 932, 247.
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}.