Find the LCM of 312, 229, 956, 936, 853 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 312, 229, 956, 936, 853. So, keep reading to learn more.
Given numbers are 312,229,956,936,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,229,956,936,853 is 43697668248.
Find LCM of 312,229,956,936,853 with Prime Factorization
2 | 312, 229, 956, 936, 853 |
2 | 156, 229, 478, 468, 853 |
2 | 78, 229, 239, 234, 853 |
3 | 39, 229, 239, 117, 853 |
13 | 13, 229, 239, 39, 853 |
1, 229, 239, 3, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 1 x 229 x 239 x 3 x 853 = 43697668248
Therefore, the lowest common multiple of 312,229,956,936,853 is 43697668248.
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.
312 x 229 x 956 x 936 x 853 = 54534689973504
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
229 : 1, 229
956 : 1, 2, 4, 239, 478, 956
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
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,229,956,936,853, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
229:229
956:2x 2x 239
936:2x 2x 2x 3x 3x 13
853:853
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 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 54534689973504/(1x1248)
LCM = 54534689973504/1248
LCM = 43697668248
Thus, we can understand that the LCM of 312,229,956,936,853 is 43697668248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 229, 956, 936, 853?
Answer: LCM of 312, 229, 956, 936, 853 is 43697668248.
2. How to calculate the LCM of 312, 229, 956, 936, 853?
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 312, 229, 956, 936, 853.
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}.