LCM of 847, 950, 489, 462, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 950, 489, 462, 268 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 847, 950, 489, 462, 268. So, keep reading to learn more.
Given numbers are 847,950,489,462,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,950,489,462,268 is 52725495900.
Find LCM of 847,950,489,462,268 with Prime Factorization
| 2 | 847, 950, 489, 462, 268 |
| 3 | 847, 475, 489, 231, 134 |
| 7 | 847, 475, 163, 77, 134 |
| 11 | 121, 475, 163, 11, 134 |
| 1, 475, 163, 11, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 1 x 475 x 163 x 11 x 134 = 52725495900
Therefore, the lowest common multiple of 847,950,489,462,268 is 52725495900.
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.
847 x 950 x 489 x 462 x 268 = 48718358211600
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.
847 : 1, 7, 11, 77, 121, 847
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
489 : 1, 3, 163, 489
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,950,489,462,268, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
950:2x 5x 5x 19
489:3x 163
462:2x 3x 7x 11
268:2x 2x 67
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 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 48718358211600/(1x924)
LCM = 48718358211600/924
LCM = 52725495900
Thus, we can understand that the LCM of 847,950,489,462,268 is 52725495900.
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FAQs on LCM of 847, 950, 489, 462, 268
1. What is the LCM of 847, 950, 489, 462, 268?
Answer: LCM of 847, 950, 489, 462, 268 is 52725495900.
2. How to calculate the LCM of 847, 950, 489, 462, 268?
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 847, 950, 489, 462, 268.
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}.