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 643, 213, 940, 568, 497

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


Find the LCM of 643, 213, 940, 568, 497 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 643, 213, 940, 568, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 643,213,940,568,497

Given numbers are 643,213,940,568,497

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

The LCM of 643,213,940,568,497 is 1802380440.

Find LCM of 643,213,940,568,497 with Prime Factorization


2 643, 213, 940, 568, 497
2 643, 213, 470, 284, 497
71 643, 213, 235, 142, 497
643, 3, 235, 2, 7

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

2 x 2 x 71 x 643 x 3 x 235 x 2 x 7 = 1802380440

Therefore, the lowest common multiple of 643,213,940,568,497 is 1802380440.

LCM Formula to Find Lowest Common Multiple of 643,213,940,568,497

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.

643 x 213 x 940 x 568 x 497 = 36343199192160

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.

643 : 1, 643

213 : 1, 3, 71, 213

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,213,940,568,497, is 1.

Now, the common factors can be found like this.

643:643

213:3x 71

940:2x 2x 5x 47

568:2x 2x 2x 71

497:7x 71

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 71x 71 = 20164

Therefore, the value for common factors is 20164.

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 = 36343199192160/(1x20164)

LCM = 36343199192160/20164

LCM = 1802380440

Thus, we can understand that the LCM of 643,213,940,568,497 is 1802380440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 643, 213, 940, 568, 497

1. What is the LCM of 643, 213, 940, 568, 497?

Answer: LCM of 643, 213, 940, 568, 497 is 1802380440.

2. How to calculate the LCM of 643, 213, 940, 568, 497?

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 643, 213, 940, 568, 497.

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}.