LCM of 803, 286, 299, 922
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 286, 299, 922 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 803, 286, 299, 922. So, keep reading to learn more.
Given numbers are 803,286,299,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,286,299,922 is 221369434.
Find LCM of 803,286,299,922 with Prime Factorization
| 2 | 803, 286, 299, 922 |
| 11 | 803, 143, 299, 461 |
| 13 | 73, 13, 299, 461 |
| 73, 1, 23, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 73 x 1 x 23 x 461 = 221369434
Therefore, the lowest common multiple of 803,286,299,922 is 221369434.
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.
803 x 286 x 299 x 922 = 63311658124
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.
803 : 1, 11, 73, 803
286 : 1, 2, 11, 13, 22, 26, 143, 286
299 : 1, 13, 23, 299
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,286,299,922, is 1.
Now, the common factors can be found like this.
803:11x 73
286:2x 11x 13
299:13x 23
922:2x 461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 63311658124/(1x286)
LCM = 63311658124/286
LCM = 221369434
Thus, we can understand that the LCM of 803,286,299,922 is 221369434.
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FAQs on LCM of 803, 286, 299, 922
1. What is the LCM of 803, 286, 299, 922?
Answer: LCM of 803, 286, 299, 922 is 221369434.
2. How to calculate the LCM of 803, 286, 299, 922?
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 803, 286, 299, 922.
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}.