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 684, 498, 388, 440

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


Find the LCM of 684, 498, 388, 440 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 684, 498, 388, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,498,388,440

Given numbers are 684,498,388,440

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

The LCM of 684,498,388,440 is 605757240.

Find LCM of 684,498,388,440 with Prime Factorization


2 684, 498, 388, 440
2 342, 249, 194, 220
3 171, 249, 97, 110
57, 83, 97, 110

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

2 x 2 x 3 x 57 x 83 x 97 x 110 = 605757240

Therefore, the lowest common multiple of 684,498,388,440 is 605757240.

LCM Formula to Find Lowest Common Multiple of 684,498,388,440

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.

684 x 498 x 388 x 440 = 58152695040

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

498 : 1, 2, 3, 6, 83, 166, 249, 498

388 : 1, 2, 4, 97, 194, 388

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,498,388,440, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

498:2x 3x 83

388:2x 2x 97

440:2x 2x 2x 5x 11

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 3 = 48

Therefore, the value for common factors is 48.

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 = 58152695040/(2x48)

LCM = 58152695040/96

LCM = 605757240

Thus, we can understand that the LCM of 684,498,388,440 is 605757240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 498, 388, 440

1. What is the LCM of 684, 498, 388, 440?

Answer: LCM of 684, 498, 388, 440 is 605757240.

2. How to calculate the LCM of 684, 498, 388, 440?

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 684, 498, 388, 440.

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}.