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LCM of 969, 344, 328, 984

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


Find the LCM of 969, 344, 328, 984 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 969, 344, 328, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,344,328,984

Given numbers are 969,344,328,984

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

The LCM of 969,344,328,984 is 13666776.

Find LCM of 969,344,328,984 with Prime Factorization


2 969, 344, 328, 984
2 969, 172, 164, 492
2 969, 86, 82, 246
3 969, 43, 41, 123
41 323, 43, 41, 41
323, 43, 1, 1

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

2 x 2 x 2 x 3 x 41 x 323 x 43 x 1 x 1 = 13666776

Therefore, the lowest common multiple of 969,344,328,984 is 13666776.

LCM Formula to Find Lowest Common Multiple of 969,344,328,984

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.

969 x 344 x 328 x 984 = 107584860672

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

344 : 1, 2, 4, 8, 43, 86, 172, 344

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,344,328,984, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

344:2x 2x 2x 43

328:2x 2x 2x 41

984:2x 2x 2x 3x 41

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 2x 2x 3x 41 = 7872

Therefore, the value for common factors is 7872.

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 = 107584860672/(1x7872)

LCM = 107584860672/7872

LCM = 13666776

Thus, we can understand that the LCM of 969,344,328,984 is 13666776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 344, 328, 984

1. What is the LCM of 969, 344, 328, 984?

Answer: LCM of 969, 344, 328, 984 is 13666776.

2. How to calculate the LCM of 969, 344, 328, 984?

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 969, 344, 328, 984.

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}.