LCM of 269, 906, 847, 634, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 906, 847, 634, 158 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 269, 906, 847, 634, 158. So, keep reading to learn more.
Given numbers are 269,906,847,634,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,906,847,634,158 is 5169520257594.
Find LCM of 269,906,847,634,158 with Prime Factorization
| 2 | 269, 906, 847, 634, 158 |
| 269, 453, 847, 317, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 453 x 847 x 317 x 79 = 5169520257594
Therefore, the lowest common multiple of 269,906,847,634,158 is 5169520257594.
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.
269 x 906 x 847 x 634 x 158 = 20678081030376
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.
269 : 1, 269
906 : 1, 2, 3, 6, 151, 302, 453, 906
847 : 1, 7, 11, 77, 121, 847
634 : 1, 2, 317, 634
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,906,847,634,158, is 1.
Now, the common factors can be found like this.
269:269
906:2x 3x 151
847:7x 11x 11
634:2x 317
158:2x 79
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 = 20678081030376/(1x4)
LCM = 20678081030376/4
LCM = 5169520257594
Thus, we can understand that the LCM of 269,906,847,634,158 is 5169520257594.
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FAQs on LCM of 269, 906, 847, 634, 158
1. What is the LCM of 269, 906, 847, 634, 158?
Answer: LCM of 269, 906, 847, 634, 158 is 5169520257594.
2. How to calculate the LCM of 269, 906, 847, 634, 158?
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 269, 906, 847, 634, 158.
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}.