LCM of 882, 762, 315, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 762, 315, 278 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 882, 762, 315, 278. So, keep reading to learn more.
Given numbers are 882,762,315,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,762,315,278 is 77849730.
Find LCM of 882,762,315,278 with Prime Factorization
| 2 | 882, 762, 315, 278 |
| 3 | 441, 381, 315, 139 |
| 3 | 147, 127, 105, 139 |
| 7 | 49, 127, 35, 139 |
| 7, 127, 5, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 127 x 5 x 139 = 77849730
Therefore, the lowest common multiple of 882,762,315,278 is 77849730.
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.
882 x 762 x 315 x 278 = 58854395880
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
762 : 1, 2, 3, 6, 127, 254, 381, 762
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,762,315,278, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
762:2x 3x 127
315:3x 3x 5x 7
278:2x 139
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 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 58854395880/(1x756)
LCM = 58854395880/756
LCM = 77849730
Thus, we can understand that the LCM of 882,762,315,278 is 77849730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 882, 762, 315, 278
1. What is the LCM of 882, 762, 315, 278?
Answer: LCM of 882, 762, 315, 278 is 77849730.
2. How to calculate the LCM of 882, 762, 315, 278?
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 882, 762, 315, 278.
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}.