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LCM of 473, 404, 789, 788

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


Find the LCM of 473, 404, 789, 788 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 473, 404, 789, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,404,789,788

Given numbers are 473,404,789,788

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

The LCM of 473,404,789,788 is 29702002836.

Find LCM of 473,404,789,788 with Prime Factorization


2 473, 404, 789, 788
2 473, 202, 789, 394
473, 101, 789, 197

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

2 x 2 x 473 x 101 x 789 x 197 = 29702002836

Therefore, the lowest common multiple of 473,404,789,788 is 29702002836.

LCM Formula to Find Lowest Common Multiple of 473,404,789,788

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.

473 x 404 x 789 x 788 = 118808011344

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.

473 : 1, 11, 43, 473

404 : 1, 2, 4, 101, 202, 404

789 : 1, 3, 263, 789

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,404,789,788, is 1.

Now, the common factors can be found like this.

473:11x 43

404:2x 2x 101

789:3x 263

788:2x 2x 197

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 118808011344/(1x4)

LCM = 118808011344/4

LCM = 29702002836

Thus, we can understand that the LCM of 473,404,789,788 is 29702002836.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 404, 789, 788

1. What is the LCM of 473, 404, 789, 788?

Answer: LCM of 473, 404, 789, 788 is 29702002836.

2. How to calculate the LCM of 473, 404, 789, 788?

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 473, 404, 789, 788.

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}.