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LCM of 984, 535, 423, 943, 385

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


Find the LCM of 984, 535, 423, 943, 385 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, 535, 423, 943, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,535,423,943,385

Given numbers are 984,535,423,943,385

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

The LCM of 984,535,423,943,385 is 131457858840.

Find LCM of 984,535,423,943,385 with Prime Factorization


3 984, 535, 423, 943, 385
5 328, 535, 141, 943, 385
41 328, 107, 141, 943, 77
8, 107, 141, 23, 77

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

3 x 5 x 41 x 8 x 107 x 141 x 23 x 77 = 131457858840

Therefore, the lowest common multiple of 984,535,423,943,385 is 131457858840.

LCM Formula to Find Lowest Common Multiple of 984,535,423,943,385

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 535 x 423 x 943 x 385 = 80846583186600

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

535 : 1, 5, 107, 535

423 : 1, 3, 9, 47, 141, 423

943 : 1, 23, 41, 943

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,535,423,943,385, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

535:5x 107

423:3x 3x 47

943:23x 41

385:5x 7x 11

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

3x 5x 41 = 615

Therefore, the value for common factors is 615.

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 = 80846583186600/(1x615)

LCM = 80846583186600/615

LCM = 131457858840

Thus, we can understand that the LCM of 984,535,423,943,385 is 131457858840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 535, 423, 943, 385

1. What is the LCM of 984, 535, 423, 943, 385?

Answer: LCM of 984, 535, 423, 943, 385 is 131457858840.

2. How to calculate the LCM of 984, 535, 423, 943, 385?

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, 535, 423, 943, 385.

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}.