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 165, 119, 642, 715

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


Find the LCM of 165, 119, 642, 715 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 165, 119, 642, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,119,642,715

Given numbers are 165,119,642,715

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

The LCM of 165,119,642,715 is 54624570.

Find LCM of 165,119,642,715 with Prime Factorization


3 165, 119, 642, 715
5 55, 119, 214, 715
11 11, 119, 214, 143
1, 119, 214, 13

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

3 x 5 x 11 x 1 x 119 x 214 x 13 = 54624570

Therefore, the lowest common multiple of 165,119,642,715 is 54624570.

LCM Formula to Find Lowest Common Multiple of 165,119,642,715

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.

165 x 119 x 642 x 715 = 9013054050

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.

165 : 1, 3, 5, 11, 15, 33, 55, 165

119 : 1, 7, 17, 119

642 : 1, 2, 3, 6, 107, 214, 321, 642

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,119,642,715, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

119:7x 17

642:2x 3x 107

715:5x 11x 13

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 9013054050/(1x165)

LCM = 9013054050/165

LCM = 54624570

Thus, we can understand that the LCM of 165,119,642,715 is 54624570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 119, 642, 715

1. What is the LCM of 165, 119, 642, 715?

Answer: LCM of 165, 119, 642, 715 is 54624570.

2. How to calculate the LCM of 165, 119, 642, 715?

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 165, 119, 642, 715.

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}.