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LCM of 970, 311, 461, 243, 485

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 970, 311, 461, 243, 485 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, 311, 461, 243, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,311,461,243,485

Given numbers are 970,311,461,243,485

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 970,311,461,243,485 is 33793978410.

Find LCM of 970,311,461,243,485 with Prime Factorization


5 970, 311, 461, 243, 485
97 194, 311, 461, 243, 97
2, 311, 461, 243, 1

Multiply the prime numbers at the bottom and the left side.

5 x 97 x 2 x 311 x 461 x 243 x 1 = 33793978410

Therefore, the lowest common multiple of 970,311,461,243,485 is 33793978410.

LCM Formula to Find Lowest Common Multiple of 970,311,461,243,485

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 311 x 461 x 243 x 485 = 16390079528850

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

311 : 1, 311

461 : 1, 461

243 : 1, 3, 9, 27, 81, 243

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,311,461,243,485, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

311:311

461:461

243:3x 3x 3x 3x 3

485:5x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 97 = 485

Therefore, the value for common factors is 485.

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 = 16390079528850/(1x485)

LCM = 16390079528850/485

LCM = 33793978410

Thus, we can understand that the LCM of 970,311,461,243,485 is 33793978410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 311, 461, 243, 485

1. What is the LCM of 970, 311, 461, 243, 485?

Answer: LCM of 970, 311, 461, 243, 485 is 33793978410.

2. How to calculate the LCM of 970, 311, 461, 243, 485?

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, 311, 461, 243, 485.

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}.