LCM of 970, 968, 775, 552, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 968, 775, 552, 591 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 970, 968, 775, 552, 591. So, keep reading to learn more.
Given numbers are 970,968,775,552,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,968,775,552,591 is 989154454200.
Find LCM of 970,968,775,552,591 with Prime Factorization
| 2 | 970, 968, 775, 552, 591 |
| 2 | 485, 484, 775, 276, 591 |
| 2 | 485, 242, 775, 138, 591 |
| 3 | 485, 121, 775, 69, 591 |
| 5 | 485, 121, 775, 23, 197 |
| 97, 121, 155, 23, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 97 x 121 x 155 x 23 x 197 = 989154454200
Therefore, the lowest common multiple of 970,968,775,552,591 is 989154454200.
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.
970 x 968 x 775 x 552 x 591 = 237397069008000
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
775 : 1, 5, 25, 31, 155, 775
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,968,775,552,591, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
968:2x 2x 2x 11x 11
775:5x 5x 31
552:2x 2x 2x 3x 23
591:3x 197
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 237397069008000/(1x240)
LCM = 237397069008000/240
LCM = 989154454200
Thus, we can understand that the LCM of 970,968,775,552,591 is 989154454200.
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FAQs on LCM of 970, 968, 775, 552, 591
1. What is the LCM of 970, 968, 775, 552, 591?
Answer: LCM of 970, 968, 775, 552, 591 is 989154454200.
2. How to calculate the LCM of 970, 968, 775, 552, 591?
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 970, 968, 775, 552, 591.
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}.