Find the LCM of 321, 649, 375, 450, 710 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 321, 649, 375, 450, 710. So, keep reading to learn more.
Given numbers are 321,649,375,450,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,649,375,450,710 is 11093519250.
Find LCM of 321,649,375,450,710 with Prime Factorization
2 | 321, 649, 375, 450, 710 |
3 | 321, 649, 375, 225, 355 |
5 | 107, 649, 125, 75, 355 |
5 | 107, 649, 25, 15, 71 |
107, 649, 5, 3, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 107 x 649 x 5 x 3 x 71 = 11093519250
Therefore, the lowest common multiple of 321,649,375,450,710 is 11093519250.
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.
321 x 649 x 375 x 450 x 710 = 24960418312500
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.
321 : 1, 3, 107, 321
649 : 1, 11, 59, 649
375 : 1, 3, 5, 15, 25, 75, 125, 375
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,649,375,450,710, is 1.
Now, the common factors can be found like this.
321:3x 107
649:11x 59
375:3x 5x 5x 5
450:2x 3x 3x 5x 5
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 5 = 2250
Therefore, the value for common factors is 2250.
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 = 24960418312500/(1x2250)
LCM = 24960418312500/2250
LCM = 11093519250
Thus, we can understand that the LCM of 321,649,375,450,710 is 11093519250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 649, 375, 450, 710?
Answer: LCM of 321, 649, 375, 450, 710 is 11093519250.
2. How to calculate the LCM of 321, 649, 375, 450, 710?
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 321, 649, 375, 450, 710.
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}.