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 561, 465, 948, 828, 887

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


Find the LCM of 561, 465, 948, 828, 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 561, 465, 948, 828, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,465,948,828,887

Given numbers are 561,465,948,828,887

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

The LCM of 561,465,948,828,887 is 1681722569340.

Find LCM of 561,465,948,828,887 with Prime Factorization


2 561, 465, 948, 828, 887
2 561, 465, 474, 414, 887
3 561, 465, 237, 207, 887
187, 155, 79, 69, 887

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

2 x 2 x 3 x 187 x 155 x 79 x 69 x 887 = 1681722569340

Therefore, the lowest common multiple of 561,465,948,828,887 is 1681722569340.

LCM Formula to Find Lowest Common Multiple of 561,465,948,828,887

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.

561 x 465 x 948 x 828 x 887 = 181626037488720

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,465,948,828,887, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

465:3x 5x 31

948:2x 2x 3x 79

828:2x 2x 3x 3x 23

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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 181626037488720/(1x108)

LCM = 181626037488720/108

LCM = 1681722569340

Thus, we can understand that the LCM of 561,465,948,828,887 is 1681722569340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 465, 948, 828, 887

1. What is the LCM of 561, 465, 948, 828, 887?

Answer: LCM of 561, 465, 948, 828, 887 is 1681722569340.

2. How to calculate the LCM of 561, 465, 948, 828, 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 561, 465, 948, 828, 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}.