LCM of 701, 728, 968, 496, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 728, 968, 496, 310 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 701, 728, 968, 496, 310. So, keep reading to learn more.
Given numbers are 701,728,968,496,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,728,968,496,310 is 19142403280.
Find LCM of 701,728,968,496,310 with Prime Factorization
| 2 | 701, 728, 968, 496, 310 |
| 2 | 701, 364, 484, 248, 155 |
| 2 | 701, 182, 242, 124, 155 |
| 31 | 701, 91, 121, 62, 155 |
| 701, 91, 121, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 701 x 91 x 121 x 2 x 5 = 19142403280
Therefore, the lowest common multiple of 701,728,968,496,310 is 19142403280.
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.
701 x 728 x 968 x 496 x 310 = 75957056215040
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.
701 : 1, 701
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,728,968,496,310, is 1.
Now, the common factors can be found like this.
701:701
728:2x 2x 2x 7x 13
968:2x 2x 2x 11x 11
496:2x 2x 2x 2x 31
310:2x 5x 31
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 2x 2x 31 = 3968
Therefore, the value for common factors is 3968.
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 = 75957056215040/(1x3968)
LCM = 75957056215040/3968
LCM = 19142403280
Thus, we can understand that the LCM of 701,728,968,496,310 is 19142403280.
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FAQs on LCM of 701, 728, 968, 496, 310
1. What is the LCM of 701, 728, 968, 496, 310?
Answer: LCM of 701, 728, 968, 496, 310 is 19142403280.
2. How to calculate the LCM of 701, 728, 968, 496, 310?
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 701, 728, 968, 496, 310.
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}.