Find the LCM of 127, 946, 321, 537, 971 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 127, 946, 321, 537, 971. So, keep reading to learn more.
Given numbers are 127,946,321,537,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,946,321,537,971 is 6703045241838.
Find LCM of 127,946,321,537,971 with Prime Factorization
3 | 127, 946, 321, 537, 971 |
127, 946, 107, 179, 971 |
Multiply the prime numbers at the bottom and the left side.
3 x 127 x 946 x 107 x 179 x 971 = 6703045241838
Therefore, the lowest common multiple of 127,946,321,537,971 is 6703045241838.
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.
127 x 946 x 321 x 537 x 971 = 20109135725514
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.
127 : 1, 127
946 : 1, 2, 11, 22, 43, 86, 473, 946
321 : 1, 3, 107, 321
537 : 1, 3, 179, 537
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,946,321,537,971, is 1.
Now, the common factors can be found like this.
127:127
946:2x 11x 43
321:3x 107
537:3x 179
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 20109135725514/(1x3)
LCM = 20109135725514/3
LCM = 6703045241838
Thus, we can understand that the LCM of 127,946,321,537,971 is 6703045241838.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 127, 946, 321, 537, 971?
Answer: LCM of 127, 946, 321, 537, 971 is 6703045241838.
2. How to calculate the LCM of 127, 946, 321, 537, 971?
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 127, 946, 321, 537, 971.
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}.