LCM of 716, 701, 968, 699, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 701, 968, 699, 847 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, 701, 968, 699, 847. So, keep reading to learn more.
Given numbers are 716,701,968,699,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,701,968,699,847 is 594321747096.
Find LCM of 716,701,968,699,847 with Prime Factorization
| 2 | 716, 701, 968, 699, 847 |
| 2 | 358, 701, 484, 699, 847 |
| 11 | 179, 701, 242, 699, 847 |
| 11 | 179, 701, 22, 699, 77 |
| 179, 701, 2, 699, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 179 x 701 x 2 x 699 x 7 = 594321747096
Therefore, the lowest common multiple of 716,701,968,699,847 is 594321747096.
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 701 x 968 x 699 x 847 = 287651725594464
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
701 : 1, 701
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
699 : 1, 3, 233, 699
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,701,968,699,847, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
701:701
968:2x 2x 2x 11x 11
699:3x 233
847:7x 11x 11
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 287651725594464/(1x484)
LCM = 287651725594464/484
LCM = 594321747096
Thus, we can understand that the LCM of 716,701,968,699,847 is 594321747096.
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FAQs on LCM of 716, 701, 968, 699, 847
1. What is the LCM of 716, 701, 968, 699, 847?
Answer: LCM of 716, 701, 968, 699, 847 is 594321747096.
2. How to calculate the LCM of 716, 701, 968, 699, 847?
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, 701, 968, 699, 847.
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}.