Find the LCM of 251, 247, 209, 149, 972 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 251, 247, 209, 149, 972. So, keep reading to learn more.
Given numbers are 251,247,209,149,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,247,209,149,972 is 98767916676.
Find LCM of 251,247,209,149,972 with Prime Factorization
19 | 251, 247, 209, 149, 972 |
251, 13, 11, 149, 972 |
Multiply the prime numbers at the bottom and the left side.
19 x 251 x 13 x 11 x 149 x 972 = 98767916676
Therefore, the lowest common multiple of 251,247,209,149,972 is 98767916676.
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.
251 x 247 x 209 x 149 x 972 = 1876590416844
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.
251 : 1, 251
247 : 1, 13, 19, 247
209 : 1, 11, 19, 209
149 : 1, 149
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,247,209,149,972, is 1.
Now, the common factors can be found like this.
251:251
247:13x 19
209:11x 19
149:149
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 1876590416844/(1x19)
LCM = 1876590416844/19
LCM = 98767916676
Thus, we can understand that the LCM of 251,247,209,149,972 is 98767916676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 251, 247, 209, 149, 972?
Answer: LCM of 251, 247, 209, 149, 972 is 98767916676.
2. How to calculate the LCM of 251, 247, 209, 149, 972?
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 251, 247, 209, 149, 972.
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}.