Find the LCM of 670, 672, 604, 374 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, 672, 604, 374. So, keep reading to learn more.
Given numbers are 670,672,604,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,672,604,374 is 6356713440.
Find LCM of 670,672,604,374 with Prime Factorization
2 | 670, 672, 604, 374 |
2 | 335, 336, 302, 187 |
335, 168, 151, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 335 x 168 x 151 x 187 = 6356713440
Therefore, the lowest common multiple of 670,672,604,374 is 6356713440.
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 672 x 604 x 374 = 101707415040
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
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
604 : 1, 2, 4, 151, 302, 604
374 : 1, 2, 11, 17, 22, 34, 187, 374
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,672,604,374, is 2.
Now, the common factors can be found like this.
670:2x 5x 67
672:2x 2x 2x 2x 2x 3x 7
604:2x 2x 151
374:2x 11x 17
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 2 = 8
Therefore, the value for common factors is 8.
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 = 101707415040/(2x8)
LCM = 101707415040/16
LCM = 6356713440
Thus, we can understand that the LCM of 670,672,604,374 is 6356713440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 672, 604, 374?
Answer: LCM of 670, 672, 604, 374 is 6356713440.
2. How to calculate the LCM of 670, 672, 604, 374?
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, 672, 604, 374.
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}.