Find the LCM of 672, 670, 443, 950, 515 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 672, 670, 443, 950, 515. So, keep reading to learn more.
Given numbers are 672,670,443,950,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,670,443,950,515 is 975840045600.
Find LCM of 672,670,443,950,515 with Prime Factorization
2 | 672, 670, 443, 950, 515 |
5 | 336, 335, 443, 475, 515 |
336, 67, 443, 95, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 336 x 67 x 443 x 95 x 103 = 975840045600
Therefore, the lowest common multiple of 672,670,443,950,515 is 975840045600.
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.
672 x 670 x 443 x 950 x 515 = 97584004560000
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.
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
670 : 1, 2, 5, 10, 67, 134, 335, 670
443 : 1, 443
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,670,443,950,515, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
670:2x 5x 67
443:443
950:2x 5x 5x 19
515:5x 103
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 97584004560000/(1x100)
LCM = 97584004560000/100
LCM = 975840045600
Thus, we can understand that the LCM of 672,670,443,950,515 is 975840045600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 672, 670, 443, 950, 515?
Answer: LCM of 672, 670, 443, 950, 515 is 975840045600.
2. How to calculate the LCM of 672, 670, 443, 950, 515?
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 672, 670, 443, 950, 515.
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}.