LCM of 314, 329, 216, 949, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 329, 216, 949, 752 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 314, 329, 216, 949, 752. So, keep reading to learn more.
Given numbers are 314,329,216,949,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,329,216,949,752 is 21176077104.
Find LCM of 314,329,216,949,752 with Prime Factorization
| 2 | 314, 329, 216, 949, 752 |
| 2 | 157, 329, 108, 949, 376 |
| 2 | 157, 329, 54, 949, 188 |
| 47 | 157, 329, 27, 949, 94 |
| 157, 7, 27, 949, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 47 x 157 x 7 x 27 x 949 x 2 = 21176077104
Therefore, the lowest common multiple of 314,329,216,949,752 is 21176077104.
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.
314 x 329 x 216 x 949 x 752 = 15924409982208
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.
314 : 1, 2, 157, 314
329 : 1, 7, 47, 329
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
949 : 1, 13, 73, 949
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,329,216,949,752, is 1.
Now, the common factors can be found like this.
314:2x 157
329:7x 47
216:2x 2x 2x 3x 3x 3
949:13x 73
752:2x 2x 2x 2x 47
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 47 = 752
Therefore, the value for common factors is 752.
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 = 15924409982208/(1x752)
LCM = 15924409982208/752
LCM = 21176077104
Thus, we can understand that the LCM of 314,329,216,949,752 is 21176077104.
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FAQs on LCM of 314, 329, 216, 949, 752
1. What is the LCM of 314, 329, 216, 949, 752?
Answer: LCM of 314, 329, 216, 949, 752 is 21176077104.
2. How to calculate the LCM of 314, 329, 216, 949, 752?
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 314, 329, 216, 949, 752.
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}.