Find the LCM of 377, 923, 824, 900, 748 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 377, 923, 824, 900, 748. So, keep reading to learn more.
Given numbers are 377,923,824,900,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,923,824,900,748 is 928006536600.
Find LCM of 377,923,824,900,748 with Prime Factorization
2 | 377, 923, 824, 900, 748 |
2 | 377, 923, 412, 450, 374 |
13 | 377, 923, 206, 225, 187 |
29, 71, 206, 225, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 29 x 71 x 206 x 225 x 187 = 928006536600
Therefore, the lowest common multiple of 377,923,824,900,748 is 928006536600.
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.
377 x 923 x 824 x 900 x 748 = 193025359612800
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.
377 : 1, 13, 29, 377
923 : 1, 13, 71, 923
824 : 1, 2, 4, 8, 103, 206, 412, 824
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,923,824,900,748, is 1.
Now, the common factors can be found like this.
377:13x 29
923:13x 71
824:2x 2x 2x 103
900:2x 2x 3x 3x 5x 5
748:2x 2x 11x 17
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 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 193025359612800/(1x208)
LCM = 193025359612800/208
LCM = 928006536600
Thus, we can understand that the LCM of 377,923,824,900,748 is 928006536600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 923, 824, 900, 748?
Answer: LCM of 377, 923, 824, 900, 748 is 928006536600.
2. How to calculate the LCM of 377, 923, 824, 900, 748?
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 377, 923, 824, 900, 748.
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}.