LCM of 716, 728, 847, 299, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 728, 847, 299, 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 716, 728, 847, 299, 312. So, keep reading to learn more.
Given numbers are 716,728,847,299,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,728,847,299,312 is 1087974888.
Find LCM of 716,728,847,299,312 with Prime Factorization
| 2 | 716, 728, 847, 299, 312 |
| 2 | 358, 364, 847, 299, 156 |
| 2 | 179, 182, 847, 299, 78 |
| 7 | 179, 91, 847, 299, 39 |
| 13 | 179, 13, 121, 299, 39 |
| 179, 1, 121, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 179 x 1 x 121 x 23 x 3 = 1087974888
Therefore, the lowest common multiple of 716,728,847,299,312 is 1087974888.
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.
716 x 728 x 847 x 299 x 312 = 41186377360128
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.
716 : 1, 2, 4, 179, 358, 716
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
847 : 1, 7, 11, 77, 121, 847
299 : 1, 13, 23, 299
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 716,728,847,299,312, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
728:2x 2x 2x 7x 13
847:7x 11x 11
299:13x 23
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 2x 2x 7x 13x 13 = 37856
Therefore, the value for common factors is 37856.
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 = 41186377360128/(1x37856)
LCM = 41186377360128/37856
LCM = 1087974888
Thus, we can understand that the LCM of 716,728,847,299,312 is 1087974888.
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FAQs on LCM of 716, 728, 847, 299, 312
1. What is the LCM of 716, 728, 847, 299, 312?
Answer: LCM of 716, 728, 847, 299, 312 is 1087974888.
2. How to calculate the LCM of 716, 728, 847, 299, 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 716, 728, 847, 299, 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}.