LCM of 968, 700, 753, 964, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 968, 700, 753, 964, 865 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 968, 700, 753, 964, 865. So, keep reading to learn more.
Given numbers are 968,700,753,964,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,700,753,964,865 is 5318284032600.
Find LCM of 968,700,753,964,865 with Prime Factorization
| 2 | 968, 700, 753, 964, 865 |
| 2 | 484, 350, 753, 482, 865 |
| 5 | 242, 175, 753, 241, 865 |
| 242, 35, 753, 241, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 242 x 35 x 753 x 241 x 173 = 5318284032600
Therefore, the lowest common multiple of 968,700,753,964,865 is 5318284032600.
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.
968 x 700 x 753 x 964 x 865 = 425462722608000
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
753 : 1, 3, 251, 753
964 : 1, 2, 4, 241, 482, 964
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,700,753,964,865, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
700:2x 2x 5x 5x 7
753:3x 251
964:2x 2x 241
865:5x 173
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 5 = 80
Therefore, the value for common factors is 80.
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 = 425462722608000/(1x80)
LCM = 425462722608000/80
LCM = 5318284032600
Thus, we can understand that the LCM of 968,700,753,964,865 is 5318284032600.
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FAQs on LCM of 968, 700, 753, 964, 865
1. What is the LCM of 968, 700, 753, 964, 865?
Answer: LCM of 968, 700, 753, 964, 865 is 5318284032600.
2. How to calculate the LCM of 968, 700, 753, 964, 865?
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 968, 700, 753, 964, 865.
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}.