Find the LCM of 904, 760, 490, 368, 899 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 904, 760, 490, 368, 899. So, keep reading to learn more.
Given numbers are 904,760,490,368,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,760,490,368,899 is 174022594480.
Find LCM of 904,760,490,368,899 with Prime Factorization
2 | 904, 760, 490, 368, 899 |
2 | 452, 380, 245, 184, 899 |
2 | 226, 190, 245, 92, 899 |
5 | 113, 95, 245, 46, 899 |
113, 19, 49, 46, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 113 x 19 x 49 x 46 x 899 = 174022594480
Therefore, the lowest common multiple of 904,760,490,368,899 is 174022594480.
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.
904 x 760 x 490 x 368 x 899 = 111374460467200
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,760,490,368,899, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
760:2x 2x 2x 5x 19
490:2x 5x 7x 7
368:2x 2x 2x 2x 23
899:29x 31
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 2x 2x 2x 5 = 640
Therefore, the value for common factors is 640.
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 = 111374460467200/(1x640)
LCM = 111374460467200/640
LCM = 174022594480
Thus, we can understand that the LCM of 904,760,490,368,899 is 174022594480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 760, 490, 368, 899?
Answer: LCM of 904, 760, 490, 368, 899 is 174022594480.
2. How to calculate the LCM of 904, 760, 490, 368, 899?
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 904, 760, 490, 368, 899.
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}.