Find the LCM of 303, 493, 748, 919 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 303, 493, 748, 919. So, keep reading to learn more.
Given numbers are 303,493,748,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,493,748,919 is 6040289244.
Find LCM of 303,493,748,919 with Prime Factorization
17 | 303, 493, 748, 919 |
303, 29, 44, 919 |
Multiply the prime numbers at the bottom and the left side.
17 x 303 x 29 x 44 x 919 = 6040289244
Therefore, the lowest common multiple of 303,493,748,919 is 6040289244.
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.
303 x 493 x 748 x 919 = 102684917148
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.
303 : 1, 3, 101, 303
493 : 1, 17, 29, 493
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,493,748,919, is 1.
Now, the common factors can be found like this.
303:3x 101
493:17x 29
748:2x 2x 11x 17
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 102684917148/(1x17)
LCM = 102684917148/17
LCM = 6040289244
Thus, we can understand that the LCM of 303,493,748,919 is 6040289244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 493, 748, 919?
Answer: LCM of 303, 493, 748, 919 is 6040289244.
2. How to calculate the LCM of 303, 493, 748, 919?
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 303, 493, 748, 919.
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}.