Find the LCM of 972, 931, 646, 203, 109 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 972, 931, 646, 203, 109. So, keep reading to learn more.
Given numbers are 972,931,646,203,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,931,646,203,109 is 48628330884.
Find LCM of 972,931,646,203,109 with Prime Factorization
2 | 972, 931, 646, 203, 109 |
7 | 486, 931, 323, 203, 109 |
19 | 486, 133, 323, 29, 109 |
486, 7, 17, 29, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 486 x 7 x 17 x 29 x 109 = 48628330884
Therefore, the lowest common multiple of 972,931,646,203,109 is 48628330884.
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.
972 x 931 x 646 x 203 x 109 = 12935136015144
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
931 : 1, 7, 19, 49, 133, 931
646 : 1, 2, 17, 19, 34, 38, 323, 646
203 : 1, 7, 29, 203
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,931,646,203,109, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
931:7x 7x 19
646:2x 17x 19
203:7x 29
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 12935136015144/(1x266)
LCM = 12935136015144/266
LCM = 48628330884
Thus, we can understand that the LCM of 972,931,646,203,109 is 48628330884.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 931, 646, 203, 109?
Answer: LCM of 972, 931, 646, 203, 109 is 48628330884.
2. How to calculate the LCM of 972, 931, 646, 203, 109?
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 972, 931, 646, 203, 109.
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}.