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LCM of 961, 961, 485, 774

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


Find the LCM of 961, 961, 485, 774 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 961, 961, 485, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,961,485,774

Given numbers are 961,961,485,774

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

The LCM of 961,961,485,774 is 360749790.

Find LCM of 961,961,485,774 with Prime Factorization


31 961, 961, 485, 774
31 31, 31, 485, 774
1, 1, 485, 774

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

31 x 31 x 1 x 1 x 485 x 774 = 360749790

Therefore, the lowest common multiple of 961,961,485,774 is 360749790.

LCM Formula to Find Lowest Common Multiple of 961,961,485,774

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.

961 x 961 x 485 x 774 = 346680548190

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.

961 : 1, 31, 961

961 : 1, 31, 961

485 : 1, 5, 97, 485

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,961,485,774, is 1.

Now, the common factors can be found like this.

961:31x 31

961:31x 31

485:5x 97

774:2x 3x 3x 43

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

31x 31 = 961

Therefore, the value for common factors is 961.

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 = 346680548190/(1x961)

LCM = 346680548190/961

LCM = 360749790

Thus, we can understand that the LCM of 961,961,485,774 is 360749790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 961, 485, 774

1. What is the LCM of 961, 961, 485, 774?

Answer: LCM of 961, 961, 485, 774 is 360749790.

2. How to calculate the LCM of 961, 961, 485, 774?

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 961, 961, 485, 774.

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}.