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LCM of 941, 283, 469, 382, 694

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


Find the LCM of 941, 283, 469, 382, 694 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 941, 283, 469, 382, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 941,283,469,382,694

Given numbers are 941,283,469,382,694

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

The LCM of 941,283,469,382,694 is 16555478567278.

Find LCM of 941,283,469,382,694 with Prime Factorization


2 941, 283, 469, 382, 694
941, 283, 469, 191, 347

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

2 x 941 x 283 x 469 x 191 x 347 = 16555478567278

Therefore, the lowest common multiple of 941,283,469,382,694 is 16555478567278.

LCM Formula to Find Lowest Common Multiple of 941,283,469,382,694

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.

941 x 283 x 469 x 382 x 694 = 33110957134556

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.

941 : 1, 941

283 : 1, 283

469 : 1, 7, 67, 469

382 : 1, 2, 191, 382

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,283,469,382,694, is 1.

Now, the common factors can be found like this.

941:941

283:283

469:7x 67

382:2x 191

694:2x 347

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33110957134556/(1x2)

LCM = 33110957134556/2

LCM = 16555478567278

Thus, we can understand that the LCM of 941,283,469,382,694 is 16555478567278.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 941, 283, 469, 382, 694

1. What is the LCM of 941, 283, 469, 382, 694?

Answer: LCM of 941, 283, 469, 382, 694 is 16555478567278.

2. How to calculate the LCM of 941, 283, 469, 382, 694?

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 941, 283, 469, 382, 694.

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}.