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LCM of 283, 333, 991, 489

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


Find the LCM of 283, 333, 991, 489 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 283, 333, 991, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,333,991,489

Given numbers are 283,333,991,489

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

The LCM of 283,333,991,489 is 15222708387.

Find LCM of 283,333,991,489 with Prime Factorization


3 283, 333, 991, 489
283, 111, 991, 163

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

3 x 283 x 111 x 991 x 163 = 15222708387

Therefore, the lowest common multiple of 283,333,991,489 is 15222708387.

LCM Formula to Find Lowest Common Multiple of 283,333,991,489

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.

283 x 333 x 991 x 489 = 45668125161

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.

283 : 1, 283

333 : 1, 3, 9, 37, 111, 333

991 : 1, 991

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,333,991,489, is 1.

Now, the common factors can be found like this.

283:283

333:3x 3x 37

991:991

489:3x 163

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

3 = 3

Therefore, the value for common factors is 3.

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 = 45668125161/(1x3)

LCM = 45668125161/3

LCM = 15222708387

Thus, we can understand that the LCM of 283,333,991,489 is 15222708387.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 333, 991, 489

1. What is the LCM of 283, 333, 991, 489?

Answer: LCM of 283, 333, 991, 489 is 15222708387.

2. How to calculate the LCM of 283, 333, 991, 489?

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 283, 333, 991, 489.

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}.