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 646, 387, 695, 142, 284

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


Find the LCM of 646, 387, 695, 142, 284 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 646, 387, 695, 142, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 646,387,695,142,284

Given numbers are 646,387,695,142,284

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

The LCM of 646,387,695,142,284 is 24672697380.

Find LCM of 646,387,695,142,284 with Prime Factorization


2 646, 387, 695, 142, 284
71 323, 387, 695, 71, 142
323, 387, 695, 1, 2

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

2 x 71 x 323 x 387 x 695 x 1 x 2 = 24672697380

Therefore, the lowest common multiple of 646,387,695,142,284 is 24672697380.

LCM Formula to Find Lowest Common Multiple of 646,387,695,142,284

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.

646 x 387 x 695 x 142 x 284 = 7007046055920

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.

646 : 1, 2, 17, 19, 34, 38, 323, 646

387 : 1, 3, 9, 43, 129, 387

695 : 1, 5, 139, 695

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,387,695,142,284, is 1.

Now, the common factors can be found like this.

646:2x 17x 19

387:3x 3x 43

695:5x 139

142:2x 71

284:2x 2x 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 71 = 284

Therefore, the value for common factors is 284.

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 = 7007046055920/(1x284)

LCM = 7007046055920/284

LCM = 24672697380

Thus, we can understand that the LCM of 646,387,695,142,284 is 24672697380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 646, 387, 695, 142, 284

1. What is the LCM of 646, 387, 695, 142, 284?

Answer: LCM of 646, 387, 695, 142, 284 is 24672697380.

2. How to calculate the LCM of 646, 387, 695, 142, 284?

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 646, 387, 695, 142, 284.

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}.