Find the LCM of 437, 228, 551, 589 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 437, 228, 551, 589. So, keep reading to learn more.
Given numbers are 437,228,551,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,228,551,589 is 4714356.
Find LCM of 437,228,551,589 with Prime Factorization
19 | 437, 228, 551, 589 |
23, 12, 29, 31 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 12 x 29 x 31 = 4714356
Therefore, the lowest common multiple of 437,228,551,589 is 4714356.
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.
437 x 228 x 551 x 589 = 32335767804
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.
437 : 1, 19, 23, 437
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
551 : 1, 19, 29, 551
589 : 1, 19, 31, 589
19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,228,551,589, is 19.
Now, the common factors can be found like this.
437:19x 23
228:2x 2x 3x 19
551:19x 29
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19 = 361
Therefore, the value for common factors is 361.
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 = 32335767804/(19x361)
LCM = 32335767804/6859
LCM = 4714356
Thus, we can understand that the LCM of 437,228,551,589 is 4714356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 228, 551, 589?
Answer: LCM of 437, 228, 551, 589 is 4714356.
2. How to calculate the LCM of 437, 228, 551, 589?
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 437, 228, 551, 589.
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}.