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 437, 494, 444, 407, 310

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


Find the LCM of 437, 494, 444, 407, 310 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 437, 494, 444, 407, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,494,444,407,310

Given numbers are 437,494,444,407,310

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

The LCM of 437,494,444,407,310 is 4300630620.

Find LCM of 437,494,444,407,310 with Prime Factorization


2 437, 494, 444, 407, 310
19 437, 247, 222, 407, 155
37 23, 13, 222, 407, 155
23, 13, 6, 11, 155

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

2 x 19 x 37 x 23 x 13 x 6 x 11 x 155 = 4300630620

Therefore, the lowest common multiple of 437,494,444,407,310 is 4300630620.

LCM Formula to Find Lowest Common Multiple of 437,494,444,407,310

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.

437 x 494 x 444 x 407 x 310 = 12093373303440

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.

437 : 1, 19, 23, 437

494 : 1, 2, 13, 19, 26, 38, 247, 494

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

407 : 1, 11, 37, 407

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,494,444,407,310, is 1.

Now, the common factors can be found like this.

437:19x 23

494:2x 13x 19

444:2x 2x 3x 37

407:11x 37

310:2x 5x 31

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 19x 37 = 2812

Therefore, the value for common factors is 2812.

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 = 12093373303440/(1x2812)

LCM = 12093373303440/2812

LCM = 4300630620

Thus, we can understand that the LCM of 437,494,444,407,310 is 4300630620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 494, 444, 407, 310

1. What is the LCM of 437, 494, 444, 407, 310?

Answer: LCM of 437, 494, 444, 407, 310 is 4300630620.

2. How to calculate the LCM of 437, 494, 444, 407, 310?

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 437, 494, 444, 407, 310.

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}.