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 659, 894, 398, 486, 364

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


Find the LCM of 659, 894, 398, 486, 364 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 659, 894, 398, 486, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,894,398,486,364

Given numbers are 659,894,398,486,364

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

The LCM of 659,894,398,486,364 is 1728352876068.

Find LCM of 659,894,398,486,364 with Prime Factorization


2 659, 894, 398, 486, 364
3 659, 447, 199, 243, 182
659, 149, 199, 81, 182

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

2 x 3 x 659 x 149 x 199 x 81 x 182 = 1728352876068

Therefore, the lowest common multiple of 659,894,398,486,364 is 1728352876068.

LCM Formula to Find Lowest Common Multiple of 659,894,398,486,364

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.

659 x 894 x 398 x 486 x 364 = 41480469025632

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.

659 : 1, 659

894 : 1, 2, 3, 6, 149, 298, 447, 894

398 : 1, 2, 199, 398

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,894,398,486,364, is 1.

Now, the common factors can be found like this.

659:659

894:2x 3x 149

398:2x 199

486:2x 3x 3x 3x 3x 3

364:2x 2x 7x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 41480469025632/(1x24)

LCM = 41480469025632/24

LCM = 1728352876068

Thus, we can understand that the LCM of 659,894,398,486,364 is 1728352876068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 894, 398, 486, 364

1. What is the LCM of 659, 894, 398, 486, 364?

Answer: LCM of 659, 894, 398, 486, 364 is 1728352876068.

2. How to calculate the LCM of 659, 894, 398, 486, 364?

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 659, 894, 398, 486, 364.

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}.