Find the LCM of 272, 969, 937, 937 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 272, 969, 937, 937. So, keep reading to learn more.
Given numbers are 272,969,937,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,969,937,937 is 14527248.
Find LCM of 272,969,937,937 with Prime Factorization
17 | 272, 969, 937, 937 |
937 | 16, 57, 937, 937 |
16, 57, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 937 x 16 x 57 x 1 x 1 = 14527248
Therefore, the lowest common multiple of 272,969,937,937 is 14527248.
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.
272 x 969 x 937 x 937 = 231404533392
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
969 : 1, 3, 17, 19, 51, 57, 323, 969
937 : 1, 937
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,969,937,937, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
969:3x 17x 19
937:937
937:937
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 937 = 15929
Therefore, the value for common factors is 15929.
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 = 231404533392/(1x15929)
LCM = 231404533392/15929
LCM = 14527248
Thus, we can understand that the LCM of 272,969,937,937 is 14527248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 272, 969, 937, 937?
Answer: LCM of 272, 969, 937, 937 is 14527248.
2. How to calculate the LCM of 272, 969, 937, 937?
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 272, 969, 937, 937.
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}.