Find the LCM of 760, 456, 842, 494 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 760, 456, 842, 494. So, keep reading to learn more.
Given numbers are 760,456,842,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,456,842,494 is 12478440.
Find LCM of 760,456,842,494 with Prime Factorization
2 | 760, 456, 842, 494 |
2 | 380, 228, 421, 247 |
2 | 190, 114, 421, 247 |
19 | 95, 57, 421, 247 |
5, 3, 421, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 5 x 3 x 421 x 13 = 12478440
Therefore, the lowest common multiple of 760,456,842,494 is 12478440.
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.
760 x 456 x 842 x 494 = 144150938880
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
842 : 1, 2, 421, 842
494 : 1, 2, 13, 19, 26, 38, 247, 494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,456,842,494, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
456:2x 2x 2x 3x 19
842:2x 421
494:2x 13x 19
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 2x 19x 19 = 5776
Therefore, the value for common factors is 5776.
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 = 144150938880/(2x5776)
LCM = 144150938880/11552
LCM = 12478440
Thus, we can understand that the LCM of 760,456,842,494 is 12478440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 456, 842, 494?
Answer: LCM of 760, 456, 842, 494 is 12478440.
2. How to calculate the LCM of 760, 456, 842, 494?
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 760, 456, 842, 494.
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}.