LCM of 803, 301, 422, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 301, 422, 378 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, 301, 422, 378. So, keep reading to learn more.
Given numbers are 803,301,422,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,301,422,378 is 2753963982.
Find LCM of 803,301,422,378 with Prime Factorization
| 2 | 803, 301, 422, 378 |
| 7 | 803, 301, 211, 189 |
| 803, 43, 211, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 803 x 43 x 211 x 27 = 2753963982
Therefore, the lowest common multiple of 803,301,422,378 is 2753963982.
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 301 x 422 x 378 = 38555495748
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
301 : 1, 7, 43, 301
422 : 1, 2, 211, 422
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,301,422,378, is 1.
Now, the common factors can be found like this.
803:11x 73
301:7x 43
422:2x 211
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 38555495748/(1x14)
LCM = 38555495748/14
LCM = 2753963982
Thus, we can understand that the LCM of 803,301,422,378 is 2753963982.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 301, 422, 378
1. What is the LCM of 803, 301, 422, 378?
Answer: LCM of 803, 301, 422, 378 is 2753963982.
2. How to calculate the LCM of 803, 301, 422, 378?
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, 301, 422, 378.
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}.