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 138, 608, 889, 370, 887

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


Find the LCM of 138, 608, 889, 370, 887 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 138, 608, 889, 370, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,608,889,370,887

Given numbers are 138,608,889,370,887

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

The LCM of 138,608,889,370,887 is 6119976848160.

Find LCM of 138,608,889,370,887 with Prime Factorization


2 138, 608, 889, 370, 887
69, 304, 889, 185, 887

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

2 x 69 x 304 x 889 x 185 x 887 = 6119976848160

Therefore, the lowest common multiple of 138,608,889,370,887 is 6119976848160.

LCM Formula to Find Lowest Common Multiple of 138,608,889,370,887

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.

138 x 608 x 889 x 370 x 887 = 24479907392640

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

889 : 1, 7, 127, 889

370 : 1, 2, 5, 10, 37, 74, 185, 370

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,608,889,370,887, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

608:2x 2x 2x 2x 2x 19

889:7x 127

370:2x 5x 37

887:887

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 24479907392640/(1x4)

LCM = 24479907392640/4

LCM = 6119976848160

Thus, we can understand that the LCM of 138,608,889,370,887 is 6119976848160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 608, 889, 370, 887

1. What is the LCM of 138, 608, 889, 370, 887?

Answer: LCM of 138, 608, 889, 370, 887 is 6119976848160.

2. How to calculate the LCM of 138, 608, 889, 370, 887?

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 138, 608, 889, 370, 887.

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}.