Find the LCM of 759, 133, 467, 467, 463 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 759, 133, 467, 467, 463. So, keep reading to learn more.
Given numbers are 759,133,467,467,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,133,467,467,463 is 21826861287.
Find LCM of 759,133,467,467,463 with Prime Factorization
467 | 759, 133, 467, 467, 463 |
759, 133, 1, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
467 x 759 x 133 x 1 x 1 x 463 = 21826861287
Therefore, the lowest common multiple of 759,133,467,467,463 is 21826861287.
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.
759 x 133 x 467 x 467 x 463 = 10193144221029
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
133 : 1, 7, 19, 133
467 : 1, 467
467 : 1, 467
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,133,467,467,463, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
133:7x 19
467:467
467:467
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
467 = 467
Therefore, the value for common factors is 467.
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 = 10193144221029/(1x467)
LCM = 10193144221029/467
LCM = 21826861287
Thus, we can understand that the LCM of 759,133,467,467,463 is 21826861287.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 759, 133, 467, 467, 463?
Answer: LCM of 759, 133, 467, 467, 463 is 21826861287.
2. How to calculate the LCM of 759, 133, 467, 467, 463?
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 759, 133, 467, 467, 463.
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}.