Find the LCM of 970, 674, 768, 692, 871 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 970, 674, 768, 692, 871. So, keep reading to learn more.
Given numbers are 970,674,768,692,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,674,768,692,871 is 18914598094080.
Find LCM of 970,674,768,692,871 with Prime Factorization
2 | 970, 674, 768, 692, 871 |
2 | 485, 337, 384, 346, 871 |
485, 337, 192, 173, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 485 x 337 x 192 x 173 x 871 = 18914598094080
Therefore, the lowest common multiple of 970,674,768,692,871 is 18914598094080.
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.
970 x 674 x 768 x 692 x 871 = 302633569505280
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
674 : 1, 2, 337, 674
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
692 : 1, 2, 4, 173, 346, 692
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,674,768,692,871, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
674:2x 337
768:2x 2x 2x 2x 2x 2x 2x 2x 3
692:2x 2x 173
871:13x 67
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 2 = 16
Therefore, the value for common factors is 16.
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 = 302633569505280/(1x16)
LCM = 302633569505280/16
LCM = 18914598094080
Thus, we can understand that the LCM of 970,674,768,692,871 is 18914598094080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 970, 674, 768, 692, 871?
Answer: LCM of 970, 674, 768, 692, 871 is 18914598094080.
2. How to calculate the LCM of 970, 674, 768, 692, 871?
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 970, 674, 768, 692, 871.
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}.