Find the LCM of 830, 694, 747, 534 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 830, 694, 747, 534. So, keep reading to learn more.
Given numbers are 830,694,747,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,694,747,534 is 230696010.
Find LCM of 830,694,747,534 with Prime Factorization
2 | 830, 694, 747, 534 |
3 | 415, 347, 747, 267 |
83 | 415, 347, 249, 89 |
5, 347, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 5 x 347 x 3 x 89 = 230696010
Therefore, the lowest common multiple of 830,694,747,534 is 230696010.
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.
830 x 694 x 747 x 534 = 229773225960
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
694 : 1, 2, 347, 694
747 : 1, 3, 9, 83, 249, 747
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,694,747,534, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
694:2x 347
747:3x 3x 83
534:2x 3x 89
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 3x 83 = 996
Therefore, the value for common factors is 996.
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 = 229773225960/(1x996)
LCM = 229773225960/996
LCM = 230696010
Thus, we can understand that the LCM of 830,694,747,534 is 230696010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 830, 694, 747, 534?
Answer: LCM of 830, 694, 747, 534 is 230696010.
2. How to calculate the LCM of 830, 694, 747, 534?
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 830, 694, 747, 534.
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}.