LCM of 352, 396, 678, 766, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 396, 678, 766, 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 352, 396, 678, 766, 314. So, keep reading to learn more.
Given numbers are 352,396,678,766,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,396,678,766,314 is 21525935904.
Find LCM of 352,396,678,766,314 with Prime Factorization
| 2 | 352, 396, 678, 766, 314 |
| 2 | 176, 198, 339, 383, 157 |
| 3 | 88, 99, 339, 383, 157 |
| 11 | 88, 33, 113, 383, 157 |
| 8, 3, 113, 383, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 8 x 3 x 113 x 383 x 157 = 21525935904
Therefore, the lowest common multiple of 352,396,678,766,314 is 21525935904.
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.
352 x 396 x 678 x 766 x 314 = 22731388314624
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
678 : 1, 2, 3, 6, 113, 226, 339, 678
766 : 1, 2, 383, 766
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,396,678,766,314, is 2.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
396:2x 2x 3x 3x 11
678:2x 3x 113
766:2x 383
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 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 22731388314624/(2x528)
LCM = 22731388314624/1056
LCM = 21525935904
Thus, we can understand that the LCM of 352,396,678,766,314 is 21525935904.
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FAQs on LCM of 352, 396, 678, 766, 314
1. What is the LCM of 352, 396, 678, 766, 314?
Answer: LCM of 352, 396, 678, 766, 314 is 21525935904.
2. How to calculate the LCM of 352, 396, 678, 766, 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 352, 396, 678, 766, 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}.