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LCM of 962, 196, 481, 966

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


Find the LCM of 962, 196, 481, 966 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 962, 196, 481, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,196,481,966

Given numbers are 962,196,481,966

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

The LCM of 962,196,481,966 is 6505044.

Find LCM of 962,196,481,966 with Prime Factorization


2 962, 196, 481, 966
7 481, 98, 481, 483
13 481, 14, 481, 69
37 37, 14, 37, 69
1, 14, 1, 69

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

2 x 7 x 13 x 37 x 1 x 14 x 1 x 69 = 6505044

Therefore, the lowest common multiple of 962,196,481,966 is 6505044.

LCM Formula to Find Lowest Common Multiple of 962,196,481,966

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.

962 x 196 x 481 x 966 = 87609932592

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

481 : 1, 13, 37, 481

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,196,481,966, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

196:2x 2x 7x 7

481:13x 37

966:2x 3x 7x 23

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 7x 13x 37 = 13468

Therefore, the value for common factors is 13468.

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 = 87609932592/(1x13468)

LCM = 87609932592/13468

LCM = 6505044

Thus, we can understand that the LCM of 962,196,481,966 is 6505044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 196, 481, 966

1. What is the LCM of 962, 196, 481, 966?

Answer: LCM of 962, 196, 481, 966 is 6505044.

2. How to calculate the LCM of 962, 196, 481, 966?

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 962, 196, 481, 966.

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}.