LCM of 251, 314, 388, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 314, 388, 786 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, 314, 388, 786. So, keep reading to learn more.
Given numbers are 251,314,388,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,314,388,786 is 6008936988.
Find LCM of 251,314,388,786 with Prime Factorization
| 2 | 251, 314, 388, 786 |
| 251, 157, 194, 393 |
Multiply the prime numbers at the bottom and the left side.
2 x 251 x 157 x 194 x 393 = 6008936988
Therefore, the lowest common multiple of 251,314,388,786 is 6008936988.
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 314 x 388 x 786 = 24035747952
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
314 : 1, 2, 157, 314
388 : 1, 2, 4, 97, 194, 388
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,314,388,786, is 1.
Now, the common factors can be found like this.
251:251
314:2x 157
388:2x 2x 97
786:2x 3x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 24035747952/(1x4)
LCM = 24035747952/4
LCM = 6008936988
Thus, we can understand that the LCM of 251,314,388,786 is 6008936988.
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FAQs on LCM of 251, 314, 388, 786
1. What is the LCM of 251, 314, 388, 786?
Answer: LCM of 251, 314, 388, 786 is 6008936988.
2. How to calculate the LCM of 251, 314, 388, 786?
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, 314, 388, 786.
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}.