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 686, 841, 849, 566

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


Find the LCM of 686, 841, 849, 566 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 686, 841, 849, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,841,849,566

Given numbers are 686,841,849,566

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

The LCM of 686,841,849,566 is 489810174.

Find LCM of 686,841,849,566 with Prime Factorization


2 686, 841, 849, 566
283 343, 841, 849, 283
343, 841, 3, 1

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

2 x 283 x 343 x 841 x 3 x 1 = 489810174

Therefore, the lowest common multiple of 686,841,849,566 is 489810174.

LCM Formula to Find Lowest Common Multiple of 686,841,849,566

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.

686 x 841 x 849 x 566 = 277232558484

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

841 : 1, 29, 841

849 : 1, 3, 283, 849

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,841,849,566, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

841:29x 29

849:3x 283

566:2x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 283 = 566

Therefore, the value for common factors is 566.

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 = 277232558484/(1x566)

LCM = 277232558484/566

LCM = 489810174

Thus, we can understand that the LCM of 686,841,849,566 is 489810174.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 841, 849, 566

1. What is the LCM of 686, 841, 849, 566?

Answer: LCM of 686, 841, 849, 566 is 489810174.

2. How to calculate the LCM of 686, 841, 849, 566?

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 686, 841, 849, 566.

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}.