Find the LCM of 224, 724, 871, 598, 947 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 224, 724, 871, 598, 947. So, keep reading to learn more.
Given numbers are 224,724,871,598,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,724,871,598,947 is 769170400544.
Find LCM of 224,724,871,598,947 with Prime Factorization
2 | 224, 724, 871, 598, 947 |
2 | 112, 362, 871, 299, 947 |
13 | 56, 181, 871, 299, 947 |
56, 181, 67, 23, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 56 x 181 x 67 x 23 x 947 = 769170400544
Therefore, the lowest common multiple of 224,724,871,598,947 is 769170400544.
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.
224 x 724 x 871 x 598 x 947 = 79993721656576
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
724 : 1, 2, 4, 181, 362, 724
871 : 1, 13, 67, 871
598 : 1, 2, 13, 23, 26, 46, 299, 598
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,724,871,598,947, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
724:2x 2x 181
871:13x 67
598:2x 13x 23
947:947
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 13 = 104
Therefore, the value for common factors is 104.
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 = 79993721656576/(1x104)
LCM = 79993721656576/104
LCM = 769170400544
Thus, we can understand that the LCM of 224,724,871,598,947 is 769170400544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 724, 871, 598, 947?
Answer: LCM of 224, 724, 871, 598, 947 is 769170400544.
2. How to calculate the LCM of 224, 724, 871, 598, 947?
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 224, 724, 871, 598, 947.
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}.