Find the LCM of 100, 400, 375, 726 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 100, 400, 375, 726. So, keep reading to learn more.
Given numbers are 100,400,375,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,400,375,726 is 726000.
Find LCM of 100,400,375,726 with Prime Factorization
2 | 100, 400, 375, 726 |
2 | 50, 200, 375, 363 |
3 | 25, 100, 375, 363 |
5 | 25, 100, 125, 121 |
5 | 5, 20, 25, 121 |
1, 4, 5, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 1 x 4 x 5 x 121 = 726000
Therefore, the lowest common multiple of 100,400,375,726 is 726000.
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.
100 x 400 x 375 x 726 = 10890000000
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
375 : 1, 3, 5, 15, 25, 75, 125, 375
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,400,375,726, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
400:2x 2x 2x 2x 5x 5
375:3x 5x 5x 5
726:2x 3x 11x 11
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 2x 3x 5x 5x 5x 5 = 15000
Therefore, the value for common factors is 15000.
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 = 10890000000/(1x15000)
LCM = 10890000000/15000
LCM = 726000
Thus, we can understand that the LCM of 100,400,375,726 is 726000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 100, 400, 375, 726?
Answer: LCM of 100, 400, 375, 726 is 726000.
2. How to calculate the LCM of 100, 400, 375, 726?
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 100, 400, 375, 726.
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}.