Find the LCM of 813, 974, 627, 551, 783 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 813, 974, 627, 551, 783. So, keep reading to learn more.
Given numbers are 813,974,627,551,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,974,627,551,783 is 43195280238.
Find LCM of 813,974,627,551,783 with Prime Factorization
3 | 813, 974, 627, 551, 783 |
19 | 271, 974, 209, 551, 261 |
29 | 271, 974, 11, 29, 261 |
271, 974, 11, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 29 x 271 x 974 x 11 x 1 x 9 = 43195280238
Therefore, the lowest common multiple of 813,974,627,551,783 is 43195280238.
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.
813 x 974 x 627 x 551 x 783 = 214205394700242
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.
813 : 1, 3, 271, 813
974 : 1, 2, 487, 974
627 : 1, 3, 11, 19, 33, 57, 209, 627
551 : 1, 19, 29, 551
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,974,627,551,783, is 1.
Now, the common factors can be found like this.
813:3x 271
974:2x 487
627:3x 11x 19
551:19x 29
783:3x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19x 29 = 4959
Therefore, the value for common factors is 4959.
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 = 214205394700242/(1x4959)
LCM = 214205394700242/4959
LCM = 43195280238
Thus, we can understand that the LCM of 813,974,627,551,783 is 43195280238.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 974, 627, 551, 783?
Answer: LCM of 813, 974, 627, 551, 783 is 43195280238.
2. How to calculate the LCM of 813, 974, 627, 551, 783?
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 813, 974, 627, 551, 783.
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}.