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LCM of 888, 673, 406, 249

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


Find the LCM of 888, 673, 406, 249 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 888, 673, 406, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 888,673,406,249

Given numbers are 888,673,406,249

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

The LCM of 888,673,406,249 is 10069366776.

Find LCM of 888,673,406,249 with Prime Factorization


2 888, 673, 406, 249
3 444, 673, 203, 249
148, 673, 203, 83

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

2 x 3 x 148 x 673 x 203 x 83 = 10069366776

Therefore, the lowest common multiple of 888,673,406,249 is 10069366776.

LCM Formula to Find Lowest Common Multiple of 888,673,406,249

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.

888 x 673 x 406 x 249 = 60416200656

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.

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

673 : 1, 673

406 : 1, 2, 7, 14, 29, 58, 203, 406

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,673,406,249, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

673:673

406:2x 7x 29

249:3x 83

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 60416200656/(1x6)

LCM = 60416200656/6

LCM = 10069366776

Thus, we can understand that the LCM of 888,673,406,249 is 10069366776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 888, 673, 406, 249

1. What is the LCM of 888, 673, 406, 249?

Answer: LCM of 888, 673, 406, 249 is 10069366776.

2. How to calculate the LCM of 888, 673, 406, 249?

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 888, 673, 406, 249.

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}.