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, 723, 341, 241, 555

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


Find the LCM of 648, 723, 341, 241, 555 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, 723, 341, 241, 555. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,723,341,241,555

Given numbers are 648,723,341,241,555

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

The LCM of 648,723,341,241,555 is 9851858280.

Find LCM of 648,723,341,241,555 with Prime Factorization


3 648, 723, 341, 241, 555
241 216, 241, 341, 241, 185
216, 1, 341, 1, 185

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

3 x 241 x 216 x 1 x 341 x 1 x 185 = 9851858280

Therefore, the lowest common multiple of 648,723,341,241,555 is 9851858280.

LCM Formula to Find Lowest Common Multiple of 648,723,341,241,555

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 723 x 341 x 241 x 555 = 21368680609320

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

723 : 1, 3, 241, 723

341 : 1, 11, 31, 341

241 : 1, 241

555 : 1, 3, 5, 15, 37, 111, 185, 555

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,723,341,241,555, is 1.

Now, the common factors can be found like this.

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

723:3x 241

341:11x 31

241:241

555:3x 5x 37

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

3x 3x 241 = 2169

Therefore, the value for common factors is 2169.

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 = 21368680609320/(1x2169)

LCM = 21368680609320/2169

LCM = 9851858280

Thus, we can understand that the LCM of 648,723,341,241,555 is 9851858280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 723, 341, 241, 555

1. What is the LCM of 648, 723, 341, 241, 555?

Answer: LCM of 648, 723, 341, 241, 555 is 9851858280.

2. How to calculate the LCM of 648, 723, 341, 241, 555?

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, 723, 341, 241, 555.

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}.