LCM of 463, 363, 744, 209, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 363, 744, 209, 251 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 463, 363, 744, 209, 251. So, keep reading to learn more.
Given numbers are 463,363,744,209,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,363,744,209,251 is 198777223128.
Find LCM of 463,363,744,209,251 with Prime Factorization
| 3 | 463, 363, 744, 209, 251 |
| 11 | 463, 121, 248, 209, 251 |
| 463, 11, 248, 19, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 463 x 11 x 248 x 19 x 251 = 198777223128
Therefore, the lowest common multiple of 463,363,744,209,251 is 198777223128.
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.
463 x 363 x 744 x 209 x 251 = 6559648363224
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.
463 : 1, 463
363 : 1, 3, 11, 33, 121, 363
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
209 : 1, 11, 19, 209
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,363,744,209,251, is 1.
Now, the common factors can be found like this.
463:463
363:3x 11x 11
744:2x 2x 2x 3x 31
209:11x 19
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 6559648363224/(1x33)
LCM = 6559648363224/33
LCM = 198777223128
Thus, we can understand that the LCM of 463,363,744,209,251 is 198777223128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 363, 744, 209, 251
1. What is the LCM of 463, 363, 744, 209, 251?
Answer: LCM of 463, 363, 744, 209, 251 is 198777223128.
2. How to calculate the LCM of 463, 363, 744, 209, 251?
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 463, 363, 744, 209, 251.
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}.