Find the LCM of 494, 268, 263, 153, 528 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, 268, 263, 153, 528. So, keep reading to learn more.
Given numbers are 494,268,263,153,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,268,263,153,528 is 117201077136.
Find LCM of 494,268,263,153,528 with Prime Factorization
2 | 494, 268, 263, 153, 528 |
2 | 247, 134, 263, 153, 264 |
3 | 247, 67, 263, 153, 132 |
247, 67, 263, 51, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 247 x 67 x 263 x 51 x 44 = 117201077136
Therefore, the lowest common multiple of 494,268,263,153,528 is 117201077136.
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 268 x 263 x 153 x 528 = 2812825851264
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
268 : 1, 2, 4, 67, 134, 268
263 : 1, 263
153 : 1, 3, 9, 17, 51, 153
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,268,263,153,528, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
268:2x 2x 67
263:263
153:3x 3x 17
528:2x 2x 2x 2x 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.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 2812825851264/(1x24)
LCM = 2812825851264/24
LCM = 117201077136
Thus, we can understand that the LCM of 494,268,263,153,528 is 117201077136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 268, 263, 153, 528?
Answer: LCM of 494, 268, 263, 153, 528 is 117201077136.
2. How to calculate the LCM of 494, 268, 263, 153, 528?
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, 268, 263, 153, 528.
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}.