Find the LCM of 948, 420, 196, 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 948, 420, 196, 956. So, keep reading to learn more.
Given numbers are 948,420,196,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,420,196,956 is 55510140.
Find LCM of 948,420,196,956 with Prime Factorization
2 | 948, 420, 196, 956 |
2 | 474, 210, 98, 478 |
3 | 237, 105, 49, 239 |
7 | 79, 35, 49, 239 |
79, 5, 7, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 79 x 5 x 7 x 239 = 55510140
Therefore, the lowest common multiple of 948,420,196,956 is 55510140.
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.
948 x 420 x 196 x 956 = 74605628160
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
956 : 1, 2, 4, 239, 478, 956
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,420,196,956, is 4.
Now, the common factors can be found like this.
948:2x 2x 3x 79
420:2x 2x 3x 5x 7
196:2x 2x 7x 7
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 74605628160/(4x336)
LCM = 74605628160/1344
LCM = 55510140
Thus, we can understand that the LCM of 948,420,196,956 is 55510140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 948, 420, 196, 956?
Answer: LCM of 948, 420, 196, 956 is 55510140.
2. How to calculate the LCM of 948, 420, 196, 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 948, 420, 196, 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}.