Find the LCM of 670, 966, 849, 490, 644 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 670, 966, 849, 490, 644. So, keep reading to learn more.
Given numbers are 670,966,849,490,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,966,849,490,644 is 1282142820.
Find LCM of 670,966,849,490,644 with Prime Factorization
2 | 670, 966, 849, 490, 644 |
3 | 335, 483, 849, 245, 322 |
5 | 335, 161, 283, 245, 322 |
7 | 67, 161, 283, 49, 322 |
23 | 67, 23, 283, 7, 46 |
67, 1, 283, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 23 x 67 x 1 x 283 x 7 x 2 = 1282142820
Therefore, the lowest common multiple of 670,966,849,490,644 is 1282142820.
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.
670 x 966 x 849 x 490 x 644 = 173396994976800
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
849 : 1, 3, 283, 849
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,966,849,490,644, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
966:2x 3x 7x 23
849:3x 283
490:2x 5x 7x 7
644:2x 2x 7x 23
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 3x 5x 7x 7x 23 = 135240
Therefore, the value for common factors is 135240.
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 = 173396994976800/(1x135240)
LCM = 173396994976800/135240
LCM = 1282142820
Thus, we can understand that the LCM of 670,966,849,490,644 is 1282142820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 966, 849, 490, 644?
Answer: LCM of 670, 966, 849, 490, 644 is 1282142820.
2. How to calculate the LCM of 670, 966, 849, 490, 644?
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 670, 966, 849, 490, 644.
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}.