LCM of 866, 716, 948, 378, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 716, 948, 378, 294 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 866, 716, 948, 378, 294. So, keep reading to learn more.
Given numbers are 866,716,948,378,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,716,948,378,294 is 32403196476.
Find LCM of 866,716,948,378,294 with Prime Factorization
| 2 | 866, 716, 948, 378, 294 |
| 2 | 433, 358, 474, 189, 147 |
| 3 | 433, 179, 237, 189, 147 |
| 7 | 433, 179, 79, 63, 49 |
| 433, 179, 79, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 433 x 179 x 79 x 9 x 7 = 32403196476
Therefore, the lowest common multiple of 866,716,948,378,294 is 32403196476.
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.
866 x 716 x 948 x 378 x 294 = 65324844095616
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.
866 : 1, 2, 433, 866
716 : 1, 2, 4, 179, 358, 716
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,716,948,378,294, is 2.
Now, the common factors can be found like this.
866:2x 433
716:2x 2x 179
948:2x 2x 3x 79
378:2x 3x 3x 3x 7
294:2x 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.
2x 2x 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 65324844095616/(2x1008)
LCM = 65324844095616/2016
LCM = 32403196476
Thus, we can understand that the LCM of 866,716,948,378,294 is 32403196476.
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FAQs on LCM of 866, 716, 948, 378, 294
1. What is the LCM of 866, 716, 948, 378, 294?
Answer: LCM of 866, 716, 948, 378, 294 is 32403196476.
2. How to calculate the LCM of 866, 716, 948, 378, 294?
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 866, 716, 948, 378, 294.
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}.