LCM of 882, 782, 252, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 782, 252, 314 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, 782, 252, 314. So, keep reading to learn more.
Given numbers are 882,782,252,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,782,252,314 is 108286668.
Find LCM of 882,782,252,314 with Prime Factorization
| 2 | 882, 782, 252, 314 |
| 3 | 441, 391, 126, 157 |
| 3 | 147, 391, 42, 157 |
| 7 | 49, 391, 14, 157 |
| 7, 391, 2, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 7 x 391 x 2 x 157 = 108286668
Therefore, the lowest common multiple of 882,782,252,314 is 108286668.
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 782 x 252 x 314 = 54576480672
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
782 : 1, 2, 17, 23, 34, 46, 391, 782
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,782,252,314, is 2.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
782:2x 17x 23
252:2x 2x 3x 3x 7
314:2x 157
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 7 = 252
Therefore, the value for common factors is 252.
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 = 54576480672/(2x252)
LCM = 54576480672/504
LCM = 108286668
Thus, we can understand that the LCM of 882,782,252,314 is 108286668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 882, 782, 252, 314
1. What is the LCM of 882, 782, 252, 314?
Answer: LCM of 882, 782, 252, 314 is 108286668.
2. How to calculate the LCM of 882, 782, 252, 314?
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, 782, 252, 314.
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}.