Find the LCM of 457, 554, 748, 274, 951 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 457, 554, 748, 274, 951. So, keep reading to learn more.
Given numbers are 457,554,748,274,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,554,748,274,951 is 12336689980164.
Find LCM of 457,554,748,274,951 with Prime Factorization
2 | 457, 554, 748, 274, 951 |
457, 277, 374, 137, 951 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 277 x 374 x 137 x 951 = 12336689980164
Therefore, the lowest common multiple of 457,554,748,274,951 is 12336689980164.
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.
457 x 554 x 748 x 274 x 951 = 49346759920656
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.
457 : 1, 457
554 : 1, 2, 277, 554
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
274 : 1, 2, 137, 274
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,554,748,274,951, is 1.
Now, the common factors can be found like this.
457:457
554:2x 277
748:2x 2x 11x 17
274:2x 137
951:3x 317
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 = 49346759920656/(1x4)
LCM = 49346759920656/4
LCM = 12336689980164
Thus, we can understand that the LCM of 457,554,748,274,951 is 12336689980164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 457, 554, 748, 274, 951?
Answer: LCM of 457, 554, 748, 274, 951 is 12336689980164.
2. How to calculate the LCM of 457, 554, 748, 274, 951?
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 457, 554, 748, 274, 951.
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}.