LCM of 803, 219, 737, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 219, 737, 882 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, 219, 737, 882. So, keep reading to learn more.
Given numbers are 803,219,737,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,219,737,882 is 47452482.
Find LCM of 803,219,737,882 with Prime Factorization
| 3 | 803, 219, 737, 882 |
| 11 | 803, 73, 737, 294 |
| 73 | 73, 73, 67, 294 |
| 1, 1, 67, 294 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 73 x 1 x 1 x 67 x 294 = 47452482
Therefore, the lowest common multiple of 803,219,737,882 is 47452482.
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 219 x 737 x 882 = 114313029138
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
219 : 1, 3, 73, 219
737 : 1, 11, 67, 737
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,219,737,882, is 1.
Now, the common factors can be found like this.
803:11x 73
219:3x 73
737:11x 67
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 73 = 2409
Therefore, the value for common factors is 2409.
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 = 114313029138/(1x2409)
LCM = 114313029138/2409
LCM = 47452482
Thus, we can understand that the LCM of 803,219,737,882 is 47452482.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 219, 737, 882
1. What is the LCM of 803, 219, 737, 882?
Answer: LCM of 803, 219, 737, 882 is 47452482.
2. How to calculate the LCM of 803, 219, 737, 882?
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, 219, 737, 882.
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}.