Find the LCM of 72, 109, 546 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 72, 109, 546. So, keep reading to learn more.
Given numbers are 72,109,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 72,109,546 is 714168.
Find LCM of 72,109,546 with Prime Factorization
2 | 72, 109, 546 |
3 | 36, 109, 273 |
12, 109, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 12 x 109 x 91 = 714168
Therefore, the lowest common multiple of 72,109,546 is 714168.
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.
72 x 109 x 546 = 4285008
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.
72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
109 : 1, 109
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 72,109,546, is 1.
Now, the common factors can be found like this.
72:2x 2x 2x 3x 3
109:109
546:2x 3x 7x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 4285008/(1x6)
LCM = 4285008/6
LCM = 714168
Thus, we can understand that the LCM of 72,109,546 is 714168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 72, 109, 546?
Answer: LCM of 72, 109, 546 is 714168.
2. How to calculate the LCM of 72, 109, 546?
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 72, 109, 546.
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}.