Find the LCM of 631, 936, 157, 374, 811 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 631, 936, 157, 374, 811. So, keep reading to learn more.
Given numbers are 631,936,157,374,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,936,157,374,811 is 14062654961784.
Find LCM of 631,936,157,374,811 with Prime Factorization
2 | 631, 936, 157, 374, 811 |
631, 468, 157, 187, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 631 x 468 x 157 x 187 x 811 = 14062654961784
Therefore, the lowest common multiple of 631,936,157,374,811 is 14062654961784.
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.
631 x 936 x 157 x 374 x 811 = 28125309923568
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.
631 : 1, 631
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
157 : 1, 157
374 : 1, 2, 11, 17, 22, 34, 187, 374
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,936,157,374,811, is 1.
Now, the common factors can be found like this.
631:631
936:2x 2x 2x 3x 3x 13
157:157
374:2x 11x 17
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 28125309923568/(1x2)
LCM = 28125309923568/2
LCM = 14062654961784
Thus, we can understand that the LCM of 631,936,157,374,811 is 14062654961784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 631, 936, 157, 374, 811?
Answer: LCM of 631, 936, 157, 374, 811 is 14062654961784.
2. How to calculate the LCM of 631, 936, 157, 374, 811?
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 631, 936, 157, 374, 811.
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}.