Find the LCM of 494, 731, 342, 884, 956 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 494, 731, 342, 884, 956. So, keep reading to learn more.
Given numbers are 494,731,342,884,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,731,342,884,956 is 1553512428.
Find LCM of 494,731,342,884,956 with Prime Factorization
2 | 494, 731, 342, 884, 956 |
2 | 247, 731, 171, 442, 478 |
13 | 247, 731, 171, 221, 239 |
17 | 19, 731, 171, 17, 239 |
19 | 19, 43, 171, 1, 239 |
1, 43, 9, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 19 x 1 x 43 x 9 x 1 x 239 = 1553512428
Therefore, the lowest common multiple of 494,731,342,884,956 is 1553512428.
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.
494 x 731 x 342 x 884 x 956 = 104371178962752
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
731 : 1, 17, 43, 731
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,731,342,884,956, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
731:17x 43
342:2x 3x 3x 19
884:2x 2x 13x 17
956:2x 2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 13x 17x 19 = 67184
Therefore, the value for common factors is 67184.
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 = 104371178962752/(1x67184)
LCM = 104371178962752/67184
LCM = 1553512428
Thus, we can understand that the LCM of 494,731,342,884,956 is 1553512428.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 731, 342, 884, 956?
Answer: LCM of 494, 731, 342, 884, 956 is 1553512428.
2. How to calculate the LCM of 494, 731, 342, 884, 956?
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 494, 731, 342, 884, 956.
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}.