LCM of 826, 199, 476, 599, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 199, 476, 599, 154 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 826, 199, 476, 599, 154. So, keep reading to learn more.
Given numbers are 826,199,476,599,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,199,476,599,154 is 36824049724.
Find LCM of 826,199,476,599,154 with Prime Factorization
| 2 | 826, 199, 476, 599, 154 |
| 7 | 413, 199, 238, 599, 77 |
| 59, 199, 34, 599, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 199 x 34 x 599 x 11 = 36824049724
Therefore, the lowest common multiple of 826,199,476,599,154 is 36824049724.
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.
826 x 199 x 476 x 599 x 154 = 7217513745904
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
199 : 1, 199
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
599 : 1, 599
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,199,476,599,154, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
199:199
476:2x 2x 7x 17
599:599
154:2x 7x 11
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 7217513745904/(1x196)
LCM = 7217513745904/196
LCM = 36824049724
Thus, we can understand that the LCM of 826,199,476,599,154 is 36824049724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 826, 199, 476, 599, 154
1. What is the LCM of 826, 199, 476, 599, 154?
Answer: LCM of 826, 199, 476, 599, 154 is 36824049724.
2. How to calculate the LCM of 826, 199, 476, 599, 154?
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 826, 199, 476, 599, 154.
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}.