Find the LCM of 494, 456, 118, 768 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 494, 456, 118, 768. So, keep reading to learn more.
Given numbers are 494,456,118,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,456,118,768 is 11192064.
Find LCM of 494,456,118,768 with Prime Factorization
2 | 494, 456, 118, 768 |
2 | 247, 228, 59, 384 |
2 | 247, 114, 59, 192 |
3 | 247, 57, 59, 96 |
19 | 247, 19, 59, 32 |
13, 1, 59, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 13 x 1 x 59 x 32 = 11192064
Therefore, the lowest common multiple of 494,456,118,768 is 11192064.
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.
494 x 456 x 118 x 768 = 20414324736
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
118 : 1, 2, 59, 118
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,456,118,768, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
456:2x 2x 2x 3x 19
118:2x 59
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 20414324736/(2x912)
LCM = 20414324736/1824
LCM = 11192064
Thus, we can understand that the LCM of 494,456,118,768 is 11192064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 456, 118, 768?
Answer: LCM of 494, 456, 118, 768 is 11192064.
2. How to calculate the LCM of 494, 456, 118, 768?
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 494, 456, 118, 768.
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}.