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LCM of 287, 998, 385, 203

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


Find the LCM of 287, 998, 385, 203 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 287, 998, 385, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,998,385,203

Given numbers are 287,998,385,203

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

The LCM of 287,998,385,203 is 456849470.

Find LCM of 287,998,385,203 with Prime Factorization


7 287, 998, 385, 203
41, 998, 55, 29

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

7 x 41 x 998 x 55 x 29 = 456849470

Therefore, the lowest common multiple of 287,998,385,203 is 456849470.

LCM Formula to Find Lowest Common Multiple of 287,998,385,203

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.

287 x 998 x 385 x 203 = 22385624030

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.

287 : 1, 7, 41, 287

998 : 1, 2, 499, 998

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

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,998,385,203, is 1.

Now, the common factors can be found like this.

287:7x 41

998:2x 499

385:5x 7x 11

203:7x 29

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 22385624030/(1x49)

LCM = 22385624030/49

LCM = 456849470

Thus, we can understand that the LCM of 287,998,385,203 is 456849470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 998, 385, 203

1. What is the LCM of 287, 998, 385, 203?

Answer: LCM of 287, 998, 385, 203 is 456849470.

2. How to calculate the LCM of 287, 998, 385, 203?

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 287, 998, 385, 203.

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}.