LCM of 363, 802, 294, 614, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 802, 294, 614, 312 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 363, 802, 294, 614, 312. So, keep reading to learn more.
Given numbers are 363,802,294,614,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,802,294,614,312 is 227729237736.
Find LCM of 363,802,294,614,312 with Prime Factorization
| 2 | 363, 802, 294, 614, 312 |
| 3 | 363, 401, 147, 307, 156 |
| 121, 401, 49, 307, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 121 x 401 x 49 x 307 x 52 = 227729237736
Therefore, the lowest common multiple of 363,802,294,614,312 is 227729237736.
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.
363 x 802 x 294 x 614 x 312 = 16396505116992
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.
363 : 1, 3, 11, 33, 121, 363
802 : 1, 2, 401, 802
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
614 : 1, 2, 307, 614
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,802,294,614,312, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
802:2x 401
294:2x 3x 7x 7
614:2x 307
312:2x 2x 2x 3x 13
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 16396505116992/(1x72)
LCM = 16396505116992/72
LCM = 227729237736
Thus, we can understand that the LCM of 363,802,294,614,312 is 227729237736.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 802, 294, 614, 312
1. What is the LCM of 363, 802, 294, 614, 312?
Answer: LCM of 363, 802, 294, 614, 312 is 227729237736.
2. How to calculate the LCM of 363, 802, 294, 614, 312?
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 363, 802, 294, 614, 312.
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}.