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LCM of 984, 953, 318, 116

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


Find the LCM of 984, 953, 318, 116 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 984, 953, 318, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,953,318,116

Given numbers are 984,953,318,116

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

The LCM of 984,953,318,116 is 1441324824.

Find LCM of 984,953,318,116 with Prime Factorization


2 984, 953, 318, 116
2 492, 953, 159, 58
3 246, 953, 159, 29
82, 953, 53, 29

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

2 x 2 x 3 x 82 x 953 x 53 x 29 = 1441324824

Therefore, the lowest common multiple of 984,953,318,116 is 1441324824.

LCM Formula to Find Lowest Common Multiple of 984,953,318,116

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.

984 x 953 x 318 x 116 = 34591795776

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

953 : 1, 953

318 : 1, 2, 3, 6, 53, 106, 159, 318

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,953,318,116, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

953:953

318:2x 3x 53

116:2x 2x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 34591795776/(1x24)

LCM = 34591795776/24

LCM = 1441324824

Thus, we can understand that the LCM of 984,953,318,116 is 1441324824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 953, 318, 116

1. What is the LCM of 984, 953, 318, 116?

Answer: LCM of 984, 953, 318, 116 is 1441324824.

2. How to calculate the LCM of 984, 953, 318, 116?

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 984, 953, 318, 116.

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}.