Find the LCM of 301, 834, 190, 467, 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 301, 834, 190, 467, 748. So, keep reading to learn more.
Given numbers are 301,834,190,467,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,834,190,467,748 is 4165284155340.
Find LCM of 301,834,190,467,748 with Prime Factorization
2 | 301, 834, 190, 467, 748 |
301, 417, 95, 467, 374 |
Multiply the prime numbers at the bottom and the left side.
2 x 301 x 417 x 95 x 467 x 374 = 4165284155340
Therefore, the lowest common multiple of 301,834,190,467,748 is 4165284155340.
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.
301 x 834 x 190 x 467 x 748 = 16661136621360
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.
301 : 1, 7, 43, 301
834 : 1, 2, 3, 6, 139, 278, 417, 834
190 : 1, 2, 5, 10, 19, 38, 95, 190
467 : 1, 467
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 301,834,190,467,748, is 1.
Now, the common factors can be found like this.
301:7x 43
834:2x 3x 139
190:2x 5x 19
467:467
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 2 = 4
Therefore, the value for common factors is 4.
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 = 16661136621360/(1x4)
LCM = 16661136621360/4
LCM = 4165284155340
Thus, we can understand that the LCM of 301,834,190,467,748 is 4165284155340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 834, 190, 467, 748?
Answer: LCM of 301, 834, 190, 467, 748 is 4165284155340.
2. How to calculate the LCM of 301, 834, 190, 467, 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 301, 834, 190, 467, 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}.