Find the LCM of 375, 567, 538, 416, 618 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 375, 567, 538, 416, 618. So, keep reading to learn more.
Given numbers are 375,567,538,416,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,567,538,416,618 is 816913188000.
Find LCM of 375,567,538,416,618 with Prime Factorization
2 | 375, 567, 538, 416, 618 |
3 | 375, 567, 269, 208, 309 |
125, 189, 269, 208, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 125 x 189 x 269 x 208 x 103 = 816913188000
Therefore, the lowest common multiple of 375,567,538,416,618 is 816913188000.
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.
375 x 567 x 538 x 416 x 618 = 29408874768000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
538 : 1, 2, 269, 538
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,567,538,416,618, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
567:3x 3x 3x 3x 7
538:2x 269
416:2x 2x 2x 2x 2x 13
618:2x 3x 103
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 3 = 36
Therefore, the value for common factors is 36.
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 = 29408874768000/(1x36)
LCM = 29408874768000/36
LCM = 816913188000
Thus, we can understand that the LCM of 375,567,538,416,618 is 816913188000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 375, 567, 538, 416, 618?
Answer: LCM of 375, 567, 538, 416, 618 is 816913188000.
2. How to calculate the LCM of 375, 567, 538, 416, 618?
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 375, 567, 538, 416, 618.
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}.