Find the LCM of 257, 678, 899, 344, 117 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 257, 678, 899, 344, 117. So, keep reading to learn more.
Given numbers are 257,678,899,344,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,678,899,344,117 is 1050789109032.
Find LCM of 257,678,899,344,117 with Prime Factorization
2 | 257, 678, 899, 344, 117 |
3 | 257, 339, 899, 172, 117 |
257, 113, 899, 172, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 257 x 113 x 899 x 172 x 39 = 1050789109032
Therefore, the lowest common multiple of 257,678,899,344,117 is 1050789109032.
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.
257 x 678 x 899 x 344 x 117 = 6304734654192
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.
257 : 1, 257
678 : 1, 2, 3, 6, 113, 226, 339, 678
899 : 1, 29, 31, 899
344 : 1, 2, 4, 8, 43, 86, 172, 344
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,678,899,344,117, is 1.
Now, the common factors can be found like this.
257:257
678:2x 3x 113
899:29x 31
344:2x 2x 2x 43
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 6304734654192/(1x6)
LCM = 6304734654192/6
LCM = 1050789109032
Thus, we can understand that the LCM of 257,678,899,344,117 is 1050789109032.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 257, 678, 899, 344, 117?
Answer: LCM of 257, 678, 899, 344, 117 is 1050789109032.
2. How to calculate the LCM of 257, 678, 899, 344, 117?
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 257, 678, 899, 344, 117.
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}.