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LCM of 479, 990, 294, 187

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


Find the LCM of 479, 990, 294, 187 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 479, 990, 294, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,990,294,187

Given numbers are 479,990,294,187

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

The LCM of 479,990,294,187 is 395016930.

Find LCM of 479,990,294,187 with Prime Factorization


2 479, 990, 294, 187
3 479, 495, 147, 187
11 479, 165, 49, 187
479, 15, 49, 17

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

2 x 3 x 11 x 479 x 15 x 49 x 17 = 395016930

Therefore, the lowest common multiple of 479,990,294,187 is 395016930.

LCM Formula to Find Lowest Common Multiple of 479,990,294,187

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.

479 x 990 x 294 x 187 = 26071117380

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.

479 : 1, 479

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,990,294,187, is 1.

Now, the common factors can be found like this.

479:479

990:2x 3x 3x 5x 11

294:2x 3x 7x 7

187:11x 17

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 26071117380/(1x66)

LCM = 26071117380/66

LCM = 395016930

Thus, we can understand that the LCM of 479,990,294,187 is 395016930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 990, 294, 187

1. What is the LCM of 479, 990, 294, 187?

Answer: LCM of 479, 990, 294, 187 is 395016930.

2. How to calculate the LCM of 479, 990, 294, 187?

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 479, 990, 294, 187.

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}.