Find the LCM of 347, 771, 450, 618, 500 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 347, 771, 450, 618, 500. So, keep reading to learn more.
Given numbers are 347,771,450,618,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,771,450,618,500 is 41334466500.
Find LCM of 347,771,450,618,500 with Prime Factorization
2 | 347, 771, 450, 618, 500 |
3 | 347, 771, 225, 309, 250 |
5 | 347, 257, 75, 103, 250 |
5 | 347, 257, 15, 103, 50 |
347, 257, 3, 103, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 347 x 257 x 3 x 103 x 10 = 41334466500
Therefore, the lowest common multiple of 347,771,450,618,500 is 41334466500.
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.
347 x 771 x 450 x 618 x 500 = 37201019850000
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.
347 : 1, 347
771 : 1, 3, 257, 771
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
618 : 1, 2, 3, 6, 103, 206, 309, 618
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,771,450,618,500, is 1.
Now, the common factors can be found like this.
347:347
771:3x 257
450:2x 3x 3x 5x 5
618:2x 3x 103
500:2x 2x 5x 5x 5
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 37201019850000/(1x900)
LCM = 37201019850000/900
LCM = 41334466500
Thus, we can understand that the LCM of 347,771,450,618,500 is 41334466500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 771, 450, 618, 500?
Answer: LCM of 347, 771, 450, 618, 500 is 41334466500.
2. How to calculate the LCM of 347, 771, 450, 618, 500?
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 347, 771, 450, 618, 500.
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}.