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 240, 149, 890, 764, 610

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


Find the LCM of 240, 149, 890, 764, 610 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 240, 149, 890, 764, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 240,149,890,764,610

Given numbers are 240,149,890,764,610

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

The LCM of 240,149,890,764,610 is 37080938640.

Find LCM of 240,149,890,764,610 with Prime Factorization


2 240, 149, 890, 764, 610
2 120, 149, 445, 382, 305
5 60, 149, 445, 191, 305
12, 149, 89, 191, 61

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

2 x 2 x 5 x 12 x 149 x 89 x 191 x 61 = 37080938640

Therefore, the lowest common multiple of 240,149,890,764,610 is 37080938640.

LCM Formula to Find Lowest Common Multiple of 240,149,890,764,610

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.

240 x 149 x 890 x 764 x 610 = 14832375456000

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

149 : 1, 149

890 : 1, 2, 5, 10, 89, 178, 445, 890

764 : 1, 2, 4, 191, 382, 764

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,149,890,764,610, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

149:149

890:2x 5x 89

764:2x 2x 191

610:2x 5x 61

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 14832375456000/(1x400)

LCM = 14832375456000/400

LCM = 37080938640

Thus, we can understand that the LCM of 240,149,890,764,610 is 37080938640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 240, 149, 890, 764, 610

1. What is the LCM of 240, 149, 890, 764, 610?

Answer: LCM of 240, 149, 890, 764, 610 is 37080938640.

2. How to calculate the LCM of 240, 149, 890, 764, 610?

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 240, 149, 890, 764, 610.

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}.