Find the LCM of 952, 614, 234, 250, 496 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 952, 614, 234, 250, 496. So, keep reading to learn more.
Given numbers are 952,614,234,250,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,614,234,250,496 is 265010382000.
Find LCM of 952,614,234,250,496 with Prime Factorization
2 | 952, 614, 234, 250, 496 |
2 | 476, 307, 117, 125, 248 |
2 | 238, 307, 117, 125, 124 |
119, 307, 117, 125, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 119 x 307 x 117 x 125 x 62 = 265010382000
Therefore, the lowest common multiple of 952,614,234,250,496 is 265010382000.
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.
952 x 614 x 234 x 250 x 496 = 16960664448000
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
614 : 1, 2, 307, 614
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
250 : 1, 2, 5, 10, 25, 50, 125, 250
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,614,234,250,496, is 2.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
614:2x 307
234:2x 3x 3x 13
250:2x 5x 5x 5
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 16960664448000/(2x32)
LCM = 16960664448000/64
LCM = 265010382000
Thus, we can understand that the LCM of 952,614,234,250,496 is 265010382000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 952, 614, 234, 250, 496?
Answer: LCM of 952, 614, 234, 250, 496 is 265010382000.
2. How to calculate the LCM of 952, 614, 234, 250, 496?
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 952, 614, 234, 250, 496.
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}.