Find the LCM of 747, 409, 423, 297 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 747, 409, 423, 297. So, keep reading to learn more.
Given numbers are 747,409,423,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,409,423,297 is 473866173.
Find LCM of 747,409,423,297 with Prime Factorization
3 | 747, 409, 423, 297 |
3 | 249, 409, 141, 99 |
83, 409, 47, 33 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 83 x 409 x 47 x 33 = 473866173
Therefore, the lowest common multiple of 747,409,423,297 is 473866173.
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.
747 x 409 x 423 x 297 = 38383160013
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.
747 : 1, 3, 9, 83, 249, 747
409 : 1, 409
423 : 1, 3, 9, 47, 141, 423
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,409,423,297, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
409:409
423:3x 3x 47
297:3x 3x 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.
3x 3x 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 38383160013/(1x81)
LCM = 38383160013/81
LCM = 473866173
Thus, we can understand that the LCM of 747,409,423,297 is 473866173.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 409, 423, 297?
Answer: LCM of 747, 409, 423, 297 is 473866173.
2. How to calculate the LCM of 747, 409, 423, 297?
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 747, 409, 423, 297.
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}.