Find the LCM of 546, 879, 723, 417, 345 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, 879, 723, 417, 345. So, keep reading to learn more.
Given numbers are 546,879,723,417,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,879,723,417,345 is 616296847530.
Find LCM of 546,879,723,417,345 with Prime Factorization
3 | 546, 879, 723, 417, 345 |
182, 293, 241, 139, 115 |
Multiply the prime numbers at the bottom and the left side.
3 x 182 x 293 x 241 x 139 x 115 = 616296847530
Therefore, the lowest common multiple of 546,879,723,417,345 is 616296847530.
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 879 x 723 x 417 x 345 = 49920044649930
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
879 : 1, 3, 293, 879
723 : 1, 3, 241, 723
417 : 1, 3, 139, 417
345 : 1, 3, 5, 15, 23, 69, 115, 345
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,879,723,417,345, is 3.
Now, the common factors can be found like this.
546:2x 3x 7x 13
879:3x 293
723:3x 241
417:3x 139
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 49920044649930/(3x27)
LCM = 49920044649930/81
LCM = 616296847530
Thus, we can understand that the LCM of 546,879,723,417,345 is 616296847530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 879, 723, 417, 345?
Answer: LCM of 546, 879, 723, 417, 345 is 616296847530.
2. How to calculate the LCM of 546, 879, 723, 417, 345?
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, 879, 723, 417, 345.
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}.