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 648, 294, 683, 488, 309

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


Find the LCM of 648, 294, 683, 488, 309 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 648, 294, 683, 488, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,294,683,488,309

Given numbers are 648,294,683,488,309

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

The LCM of 648,294,683,488,309 is 136257008328.

Find LCM of 648,294,683,488,309 with Prime Factorization


2 648, 294, 683, 488, 309
2 324, 147, 683, 244, 309
2 162, 147, 683, 122, 309
3 81, 147, 683, 61, 309
27, 49, 683, 61, 103

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

2 x 2 x 2 x 3 x 27 x 49 x 683 x 61 x 103 = 136257008328

Therefore, the lowest common multiple of 648,294,683,488,309 is 136257008328.

LCM Formula to Find Lowest Common Multiple of 648,294,683,488,309

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.

648 x 294 x 683 x 488 x 309 = 19621009199232

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

683 : 1, 683

488 : 1, 2, 4, 8, 61, 122, 244, 488

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,294,683,488,309, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

294:2x 3x 7x 7

683:683

488:2x 2x 2x 61

309:3x 103

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 19621009199232/(1x144)

LCM = 19621009199232/144

LCM = 136257008328

Thus, we can understand that the LCM of 648,294,683,488,309 is 136257008328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 294, 683, 488, 309

1. What is the LCM of 648, 294, 683, 488, 309?

Answer: LCM of 648, 294, 683, 488, 309 is 136257008328.

2. How to calculate the LCM of 648, 294, 683, 488, 309?

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 648, 294, 683, 488, 309.

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}.