Find the LCM of 852, 524, 804, 378, 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 852, 524, 804, 378, 956. So, keep reading to learn more.
Given numbers are 852,524,804,378,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,524,804,378,956 is 112596306228.
Find LCM of 852,524,804,378,956 with Prime Factorization
2 | 852, 524, 804, 378, 956 |
2 | 426, 262, 402, 189, 478 |
3 | 213, 131, 201, 189, 239 |
71, 131, 67, 63, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 131 x 67 x 63 x 239 = 112596306228
Therefore, the lowest common multiple of 852,524,804,378,956 is 112596306228.
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.
852 x 524 x 804 x 378 x 956 = 129710944774656
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
524 : 1, 2, 4, 131, 262, 524
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
956 : 1, 2, 4, 239, 478, 956
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,524,804,378,956, is 2.
Now, the common factors can be found like this.
852:2x 2x 3x 71
524:2x 2x 131
804:2x 2x 3x 67
378:2x 3x 3x 3x 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 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 129710944774656/(2x576)
LCM = 129710944774656/1152
LCM = 112596306228
Thus, we can understand that the LCM of 852,524,804,378,956 is 112596306228.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 524, 804, 378, 956?
Answer: LCM of 852, 524, 804, 378, 956 is 112596306228.
2. How to calculate the LCM of 852, 524, 804, 378, 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 852, 524, 804, 378, 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}.