Find the LCM of 811, 598, 158, 268, 974 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 811, 598, 158, 268, 974. So, keep reading to learn more.
Given numbers are 811,598,158,268,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,598,158,268,974 is 2500246851596.
Find LCM of 811,598,158,268,974 with Prime Factorization
2 | 811, 598, 158, 268, 974 |
811, 299, 79, 134, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 811 x 299 x 79 x 134 x 487 = 2500246851596
Therefore, the lowest common multiple of 811,598,158,268,974 is 2500246851596.
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.
811 x 598 x 158 x 268 x 974 = 20001974812768
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.
811 : 1, 811
598 : 1, 2, 13, 23, 26, 46, 299, 598
158 : 1, 2, 79, 158
268 : 1, 2, 4, 67, 134, 268
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,598,158,268,974, is 1.
Now, the common factors can be found like this.
811:811
598:2x 13x 23
158:2x 79
268:2x 2x 67
974:2x 487
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 2 = 8
Therefore, the value for common factors is 8.
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 = 20001974812768/(1x8)
LCM = 20001974812768/8
LCM = 2500246851596
Thus, we can understand that the LCM of 811,598,158,268,974 is 2500246851596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 811, 598, 158, 268, 974?
Answer: LCM of 811, 598, 158, 268, 974 is 2500246851596.
2. How to calculate the LCM of 811, 598, 158, 268, 974?
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 811, 598, 158, 268, 974.
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}.