Find the LCM of 471, 555, 545, 749 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 471, 555, 545, 749. So, keep reading to learn more.
Given numbers are 471,555,545,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,555,545,749 is 7113788535.
Find LCM of 471,555,545,749 with Prime Factorization
3 | 471, 555, 545, 749 |
5 | 157, 185, 545, 749 |
157, 37, 109, 749 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 157 x 37 x 109 x 749 = 7113788535
Therefore, the lowest common multiple of 471,555,545,749 is 7113788535.
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.
471 x 555 x 545 x 749 = 106706828025
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.
471 : 1, 3, 157, 471
555 : 1, 3, 5, 15, 37, 111, 185, 555
545 : 1, 5, 109, 545
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,555,545,749, is 1.
Now, the common factors can be found like this.
471:3x 157
555:3x 5x 37
545:5x 109
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 106706828025/(1x15)
LCM = 106706828025/15
LCM = 7113788535
Thus, we can understand that the LCM of 471,555,545,749 is 7113788535.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 555, 545, 749?
Answer: LCM of 471, 555, 545, 749 is 7113788535.
2. How to calculate the LCM of 471, 555, 545, 749?
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 471, 555, 545, 749.
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}.