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 662, 682, 121, 465

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


Find the LCM of 662, 682, 121, 465 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 662, 682, 121, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,682,121,465

Given numbers are 662,682,121,465

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

The LCM of 662,682,121,465 is 37247430.

Find LCM of 662,682,121,465 with Prime Factorization


2 662, 682, 121, 465
11 331, 341, 121, 465
31 331, 31, 11, 465
331, 1, 11, 15

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

2 x 11 x 31 x 331 x 1 x 11 x 15 = 37247430

Therefore, the lowest common multiple of 662,682,121,465 is 37247430.

LCM Formula to Find Lowest Common Multiple of 662,682,121,465

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.

662 x 682 x 121 x 465 = 25402747260

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.

662 : 1, 2, 331, 662

682 : 1, 2, 11, 22, 31, 62, 341, 682

121 : 1, 11, 121

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,682,121,465, is 1.

Now, the common factors can be found like this.

662:2x 331

682:2x 11x 31

121:11x 11

465:3x 5x 31

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

2x 11x 31 = 682

Therefore, the value for common factors is 682.

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 = 25402747260/(1x682)

LCM = 25402747260/682

LCM = 37247430

Thus, we can understand that the LCM of 662,682,121,465 is 37247430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 682, 121, 465

1. What is the LCM of 662, 682, 121, 465?

Answer: LCM of 662, 682, 121, 465 is 37247430.

2. How to calculate the LCM of 662, 682, 121, 465?

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 662, 682, 121, 465.

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}.