Find the LCM of 300, 224, 892, 316, 264 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 300, 224, 892, 316, 264. So, keep reading to learn more.
Given numbers are 300,224,892,316,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,224,892,316,264 is 3255621600.
Find LCM of 300,224,892,316,264 with Prime Factorization
2 | 300, 224, 892, 316, 264 |
2 | 150, 112, 446, 158, 132 |
2 | 75, 56, 223, 79, 66 |
3 | 75, 28, 223, 79, 33 |
25, 28, 223, 79, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 25 x 28 x 223 x 79 x 11 = 3255621600
Therefore, the lowest common multiple of 300,224,892,316,264 is 3255621600.
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.
300 x 224 x 892 x 316 x 264 = 5000634777600
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
892 : 1, 2, 4, 223, 446, 892
316 : 1, 2, 4, 79, 158, 316
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,224,892,316,264, is 4.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
224:2x 2x 2x 2x 2x 7
892:2x 2x 223
316:2x 2x 79
264:2x 2x 2x 3x 11
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 5000634777600/(4x384)
LCM = 5000634777600/1536
LCM = 3255621600
Thus, we can understand that the LCM of 300,224,892,316,264 is 3255621600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 300, 224, 892, 316, 264?
Answer: LCM of 300, 224, 892, 316, 264 is 3255621600.
2. How to calculate the LCM of 300, 224, 892, 316, 264?
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 300, 224, 892, 316, 264.
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}.