LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 788, 490, 940, 468, 393

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


Find the LCM of 788, 490, 940, 468, 393 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 788, 490, 940, 468, 393. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,490,940,468,393

Given numbers are 788,490,940,468,393

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

The LCM of 788,490,940,468,393 is 139074439140.

Find LCM of 788,490,940,468,393 with Prime Factorization


2 788, 490, 940, 468, 393
2 394, 245, 470, 234, 393
3 197, 245, 235, 117, 393
5 197, 245, 235, 39, 131
197, 49, 47, 39, 131

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

2 x 2 x 3 x 5 x 197 x 49 x 47 x 39 x 131 = 139074439140

Therefore, the lowest common multiple of 788,490,940,468,393 is 139074439140.

LCM Formula to Find Lowest Common Multiple of 788,490,940,468,393

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.

788 x 490 x 940 x 468 x 393 = 66755730787200

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.

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,490,940,468,393, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

490:2x 5x 7x 7

940:2x 2x 5x 47

468:2x 2x 3x 3x 13

393:3x 131

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 2x 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 66755730787200/(1x480)

LCM = 66755730787200/480

LCM = 139074439140

Thus, we can understand that the LCM of 788,490,940,468,393 is 139074439140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 490, 940, 468, 393

1. What is the LCM of 788, 490, 940, 468, 393?

Answer: LCM of 788, 490, 940, 468, 393 is 139074439140.

2. How to calculate the LCM of 788, 490, 940, 468, 393?

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 788, 490, 940, 468, 393.

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}.