Find the LCM of 275, 713, 700, 875, 301 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 275, 713, 700, 875, 301. So, keep reading to learn more.
Given numbers are 275,713,700,875,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,713,700,875,301 is 1180371500.
Find LCM of 275,713,700,875,301 with Prime Factorization
5 | 275, 713, 700, 875, 301 |
5 | 55, 713, 140, 175, 301 |
7 | 11, 713, 28, 35, 301 |
11, 713, 4, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 7 x 11 x 713 x 4 x 5 x 43 = 1180371500
Therefore, the lowest common multiple of 275,713,700,875,301 is 1180371500.
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.
275 x 713 x 700 x 875 x 301 = 36148877187500
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.
275 : 1, 5, 11, 25, 55, 275
713 : 1, 23, 31, 713
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
875 : 1, 5, 7, 25, 35, 125, 175, 875
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,713,700,875,301, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
713:23x 31
700:2x 2x 5x 5x 7
875:5x 5x 5x 7
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 5x 7x 7 = 30625
Therefore, the value for common factors is 30625.
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 = 36148877187500/(1x30625)
LCM = 36148877187500/30625
LCM = 1180371500
Thus, we can understand that the LCM of 275,713,700,875,301 is 1180371500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 275, 713, 700, 875, 301?
Answer: LCM of 275, 713, 700, 875, 301 is 1180371500.
2. How to calculate the LCM of 275, 713, 700, 875, 301?
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 275, 713, 700, 875, 301.
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}.