Find the LCM of 546, 194, 724, 724, 468 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 546, 194, 724, 724, 468. So, keep reading to learn more.
Given numbers are 546,194,724,724,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,194,724,724,468 is 57516732.
Find LCM of 546,194,724,724,468 with Prime Factorization
2 | 546, 194, 724, 724, 468 |
2 | 273, 97, 362, 362, 234 |
3 | 273, 97, 181, 181, 117 |
13 | 91, 97, 181, 181, 39 |
181 | 7, 97, 181, 181, 3 |
7, 97, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 181 x 7 x 97 x 1 x 1 x 3 = 57516732
Therefore, the lowest common multiple of 546,194,724,724,468 is 57516732.
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.
546 x 194 x 724 x 724 x 468 = 25984679116032
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
194 : 1, 2, 97, 194
724 : 1, 2, 4, 181, 362, 724
724 : 1, 2, 4, 181, 362, 724
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,194,724,724,468, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
194:2x 97
724:2x 2x 181
724:2x 2x 181
468:2x 2x 3x 3x 13
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 2x 3x 13x 181 = 225888
Therefore, the value for common factors is 225888.
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 = 25984679116032/(2x225888)
LCM = 25984679116032/451776
LCM = 57516732
Thus, we can understand that the LCM of 546,194,724,724,468 is 57516732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 194, 724, 724, 468?
Answer: LCM of 546, 194, 724, 724, 468 is 57516732.
2. How to calculate the LCM of 546, 194, 724, 724, 468?
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 546, 194, 724, 724, 468.
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}.