Find the LCM of 596, 176, 748, 242, 804 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 596, 176, 748, 242, 804. So, keep reading to learn more.
Given numbers are 596,176,748,242,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,176,748,242,804 is 985681488.
Find LCM of 596,176,748,242,804 with Prime Factorization
2 | 596, 176, 748, 242, 804 |
2 | 298, 88, 374, 121, 402 |
11 | 149, 44, 187, 121, 201 |
149, 4, 17, 11, 201 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 149 x 4 x 17 x 11 x 201 = 985681488
Therefore, the lowest common multiple of 596,176,748,242,804 is 985681488.
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.
596 x 176 x 748 x 242 x 804 = 15266234886144
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.
596 : 1, 2, 4, 149, 298, 596
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
242 : 1, 2, 11, 22, 121, 242
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,176,748,242,804, is 2.
Now, the common factors can be found like this.
596:2x 2x 149
176:2x 2x 2x 2x 11
748:2x 2x 11x 17
242:2x 11x 11
804:2x 2x 3x 67
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 11x 11 = 7744
Therefore, the value for common factors is 7744.
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 = 15266234886144/(2x7744)
LCM = 15266234886144/15488
LCM = 985681488
Thus, we can understand that the LCM of 596,176,748,242,804 is 985681488.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 176, 748, 242, 804?
Answer: LCM of 596, 176, 748, 242, 804 is 985681488.
2. How to calculate the LCM of 596, 176, 748, 242, 804?
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 596, 176, 748, 242, 804.
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}.