LCM of 627, 286, 950, 464, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 286, 950, 464, 848 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 627, 286, 950, 464, 848. So, keep reading to learn more.
Given numbers are 627,286,950,464,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,286,950,464,848 is 5011234800.
Find LCM of 627,286,950,464,848 with Prime Factorization
| 2 | 627, 286, 950, 464, 848 |
| 2 | 627, 143, 475, 232, 424 |
| 2 | 627, 143, 475, 116, 212 |
| 2 | 627, 143, 475, 58, 106 |
| 11 | 627, 143, 475, 29, 53 |
| 19 | 57, 13, 475, 29, 53 |
| 3, 13, 25, 29, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 19 x 3 x 13 x 25 x 29 x 53 = 5011234800
Therefore, the lowest common multiple of 627,286,950,464,848 is 5011234800.
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.
627 x 286 x 950 x 464 x 848 = 67030276684800
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
286 : 1, 2, 11, 13, 22, 26, 143, 286
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,286,950,464,848, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
286:2x 11x 13
950:2x 5x 5x 19
464:2x 2x 2x 2x 29
848:2x 2x 2x 2x 53
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 2x 2x 11x 19 = 13376
Therefore, the value for common factors is 13376.
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 = 67030276684800/(1x13376)
LCM = 67030276684800/13376
LCM = 5011234800
Thus, we can understand that the LCM of 627,286,950,464,848 is 5011234800.
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FAQs on LCM of 627, 286, 950, 464, 848
1. What is the LCM of 627, 286, 950, 464, 848?
Answer: LCM of 627, 286, 950, 464, 848 is 5011234800.
2. How to calculate the LCM of 627, 286, 950, 464, 848?
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 627, 286, 950, 464, 848.
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}.