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LCM of 844, 422, 941, 385

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


Find the LCM of 844, 422, 941, 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 844, 422, 941, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,422,941,385

Given numbers are 844,422,941,385

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

The LCM of 844,422,941,385 is 305768540.

Find LCM of 844,422,941,385 with Prime Factorization


2 844, 422, 941, 385
211 422, 211, 941, 385
2, 1, 941, 385

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

2 x 211 x 2 x 1 x 941 x 385 = 305768540

Therefore, the lowest common multiple of 844,422,941,385 is 305768540.

LCM Formula to Find Lowest Common Multiple of 844,422,941,385

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.

844 x 422 x 941 x 385 = 129034323880

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.

844 : 1, 2, 4, 211, 422, 844

422 : 1, 2, 211, 422

941 : 1, 941

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 844,422,941,385, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

422:2x 211

941:941

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.

2x 211 = 422

Therefore, the value for common factors is 422.

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 = 129034323880/(1x422)

LCM = 129034323880/422

LCM = 305768540

Thus, we can understand that the LCM of 844,422,941,385 is 305768540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 422, 941, 385

1. What is the LCM of 844, 422, 941, 385?

Answer: LCM of 844, 422, 941, 385 is 305768540.

2. How to calculate the LCM of 844, 422, 941, 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 844, 422, 941, 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}.