Find the LCM of 491, 557, 950, 471, 936 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 491, 557, 950, 471, 936. So, keep reading to learn more.
Given numbers are 491,557,950,471,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,557,950,471,936 is 19089994271400.
Find LCM of 491,557,950,471,936 with Prime Factorization
2 | 491, 557, 950, 471, 936 |
3 | 491, 557, 475, 471, 468 |
491, 557, 475, 157, 156 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 491 x 557 x 475 x 157 x 156 = 19089994271400
Therefore, the lowest common multiple of 491,557,950,471,936 is 19089994271400.
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.
491 x 557 x 950 x 471 x 936 = 114539965628400
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.
491 : 1, 491
557 : 1, 557
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
471 : 1, 3, 157, 471
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,557,950,471,936, is 1.
Now, the common factors can be found like this.
491:491
557:557
950:2x 5x 5x 19
471:3x 157
936:2x 2x 2x 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 = 114539965628400/(1x6)
LCM = 114539965628400/6
LCM = 19089994271400
Thus, we can understand that the LCM of 491,557,950,471,936 is 19089994271400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 557, 950, 471, 936?
Answer: LCM of 491, 557, 950, 471, 936 is 19089994271400.
2. How to calculate the LCM of 491, 557, 950, 471, 936?
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 491, 557, 950, 471, 936.
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}.