LCM of 314, 352, 496, 583, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 352, 496, 583, 757 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, 352, 496, 583, 757. So, keep reading to learn more.
Given numbers are 314,352,496,583,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,352,496,583,757 is 68734655264.
Find LCM of 314,352,496,583,757 with Prime Factorization
| 2 | 314, 352, 496, 583, 757 |
| 2 | 157, 176, 248, 583, 757 |
| 2 | 157, 88, 124, 583, 757 |
| 2 | 157, 44, 62, 583, 757 |
| 11 | 157, 22, 31, 583, 757 |
| 157, 2, 31, 53, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 157 x 2 x 31 x 53 x 757 = 68734655264
Therefore, the lowest common multiple of 314,352,496,583,757 is 68734655264.
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 352 x 496 x 583 x 757 = 24194598652928
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
583 : 1, 11, 53, 583
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,352,496,583,757, is 1.
Now, the common factors can be found like this.
314:2x 157
352:2x 2x 2x 2x 2x 11
496:2x 2x 2x 2x 31
583:11x 53
757:757
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 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 24194598652928/(1x352)
LCM = 24194598652928/352
LCM = 68734655264
Thus, we can understand that the LCM of 314,352,496,583,757 is 68734655264.
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FAQs on LCM of 314, 352, 496, 583, 757
1. What is the LCM of 314, 352, 496, 583, 757?
Answer: LCM of 314, 352, 496, 583, 757 is 68734655264.
2. How to calculate the LCM of 314, 352, 496, 583, 757?
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, 352, 496, 583, 757.
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}.