Find the LCM of 300, 533, 758, 237, 475 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 300, 533, 758, 237, 475. So, keep reading to learn more.
Given numbers are 300,533,758,237,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,533,758,237,475 is 90963752100.
Find LCM of 300,533,758,237,475 with Prime Factorization
2 | 300, 533, 758, 237, 475 |
3 | 150, 533, 379, 237, 475 |
5 | 50, 533, 379, 79, 475 |
5 | 10, 533, 379, 79, 95 |
2, 533, 379, 79, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 2 x 533 x 379 x 79 x 19 = 90963752100
Therefore, the lowest common multiple of 300,533,758,237,475 is 90963752100.
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.
300 x 533 x 758 x 237 x 475 = 13644562815000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
533 : 1, 13, 41, 533
758 : 1, 2, 379, 758
237 : 1, 3, 79, 237
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,533,758,237,475, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
533:13x 41
758:2x 379
237:3x 79
475:5x 5x 19
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 13644562815000/(1x150)
LCM = 13644562815000/150
LCM = 90963752100
Thus, we can understand that the LCM of 300,533,758,237,475 is 90963752100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 300, 533, 758, 237, 475?
Answer: LCM of 300, 533, 758, 237, 475 is 90963752100.
2. How to calculate the LCM of 300, 533, 758, 237, 475?
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 300, 533, 758, 237, 475.
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}.