LCM of 616, 722, 200, 968, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 722, 200, 968, 778 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 616, 722, 200, 968, 778. So, keep reading to learn more.
Given numbers are 616,722,200,968,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,722,200,968,778 is 23788672600.
Find LCM of 616,722,200,968,778 with Prime Factorization
| 2 | 616, 722, 200, 968, 778 |
| 2 | 308, 361, 100, 484, 389 |
| 2 | 154, 361, 50, 242, 389 |
| 11 | 77, 361, 25, 121, 389 |
| 7, 361, 25, 11, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 7 x 361 x 25 x 11 x 389 = 23788672600
Therefore, the lowest common multiple of 616,722,200,968,778 is 23788672600.
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.
616 x 722 x 200 x 968 x 778 = 66988902041600
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
722 : 1, 2, 19, 38, 361, 722
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
778 : 1, 2, 389, 778
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,722,200,968,778, is 2.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
722:2x 19x 19
200:2x 2x 2x 5x 5
968:2x 2x 2x 11x 11
778:2x 389
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 11 = 1408
Therefore, the value for common factors is 1408.
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 = 66988902041600/(2x1408)
LCM = 66988902041600/2816
LCM = 23788672600
Thus, we can understand that the LCM of 616,722,200,968,778 is 23788672600.
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FAQs on LCM of 616, 722, 200, 968, 778
1. What is the LCM of 616, 722, 200, 968, 778?
Answer: LCM of 616, 722, 200, 968, 778 is 23788672600.
2. How to calculate the LCM of 616, 722, 200, 968, 778?
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 616, 722, 200, 968, 778.
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}.