LCM of 382, 785, 628, 975, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 785, 628, 975, 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 382, 785, 628, 975, 496. So, keep reading to learn more.
Given numbers are 382,785,628,975,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,785,628,975,496 is 14501713200.
Find LCM of 382,785,628,975,496 with Prime Factorization
| 2 | 382, 785, 628, 975, 496 |
| 2 | 191, 785, 314, 975, 248 |
| 5 | 191, 785, 157, 975, 124 |
| 157 | 191, 157, 157, 195, 124 |
| 191, 1, 1, 195, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 157 x 191 x 1 x 1 x 195 x 124 = 14501713200
Therefore, the lowest common multiple of 382,785,628,975,496 is 14501713200.
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.
382 x 785 x 628 x 975 x 496 = 91070758896000
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.
382 : 1, 2, 191, 382
785 : 1, 5, 157, 785
628 : 1, 2, 4, 157, 314, 628
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,785,628,975,496, is 1.
Now, the common factors can be found like this.
382:2x 191
785:5x 157
628:2x 2x 157
975:3x 5x 5x 13
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 5x 157 = 6280
Therefore, the value for common factors is 6280.
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 = 91070758896000/(1x6280)
LCM = 91070758896000/6280
LCM = 14501713200
Thus, we can understand that the LCM of 382,785,628,975,496 is 14501713200.
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FAQs on LCM of 382, 785, 628, 975, 496
1. What is the LCM of 382, 785, 628, 975, 496?
Answer: LCM of 382, 785, 628, 975, 496 is 14501713200.
2. How to calculate the LCM of 382, 785, 628, 975, 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 382, 785, 628, 975, 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}.