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LCM of 475, 973, 418, 418, 284

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


Find the LCM of 475, 973, 418, 418, 284 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 475, 973, 418, 418, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 475,973,418,418,284

Given numbers are 475,973,418,418,284

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

The LCM of 475,973,418,418,284 is 1443834700.

Find LCM of 475,973,418,418,284 with Prime Factorization


2 475, 973, 418, 418, 284
11 475, 973, 209, 209, 142
19 475, 973, 19, 19, 142
25, 973, 1, 1, 142

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

2 x 11 x 19 x 25 x 973 x 1 x 1 x 142 = 1443834700

Therefore, the lowest common multiple of 475,973,418,418,284 is 1443834700.

LCM Formula to Find Lowest Common Multiple of 475,973,418,418,284

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.

475 x 973 x 418 x 418 x 284 = 22933870374800

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.

475 : 1, 5, 19, 25, 95, 475

973 : 1, 7, 139, 973

418 : 1, 2, 11, 19, 22, 38, 209, 418

418 : 1, 2, 11, 19, 22, 38, 209, 418

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,973,418,418,284, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

973:7x 139

418:2x 11x 19

418:2x 11x 19

284:2x 2x 71

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

2x 2x 11x 19x 19 = 15884

Therefore, the value for common factors is 15884.

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 = 22933870374800/(1x15884)

LCM = 22933870374800/15884

LCM = 1443834700

Thus, we can understand that the LCM of 475,973,418,418,284 is 1443834700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 475, 973, 418, 418, 284

1. What is the LCM of 475, 973, 418, 418, 284?

Answer: LCM of 475, 973, 418, 418, 284 is 1443834700.

2. How to calculate the LCM of 475, 973, 418, 418, 284?

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 475, 973, 418, 418, 284.

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}.