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LCM of 505, 892, 478, 470

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


Find the LCM of 505, 892, 478, 470 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 505, 892, 478, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,892,478,470

Given numbers are 505,892,478,470

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

The LCM of 505,892,478,470 is 5060017180.

Find LCM of 505,892,478,470 with Prime Factorization


2 505, 892, 478, 470
5 505, 446, 239, 235
101, 446, 239, 47

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

2 x 5 x 101 x 446 x 239 x 47 = 5060017180

Therefore, the lowest common multiple of 505,892,478,470 is 5060017180.

LCM Formula to Find Lowest Common Multiple of 505,892,478,470

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.

505 x 892 x 478 x 470 = 101200343600

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.

505 : 1, 5, 101, 505

892 : 1, 2, 4, 223, 446, 892

478 : 1, 2, 239, 478

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,892,478,470, is 1.

Now, the common factors can be found like this.

505:5x 101

892:2x 2x 223

478:2x 239

470:2x 5x 47

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 5 = 20

Therefore, the value for common factors is 20.

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 = 101200343600/(1x20)

LCM = 101200343600/20

LCM = 5060017180

Thus, we can understand that the LCM of 505,892,478,470 is 5060017180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 892, 478, 470

1. What is the LCM of 505, 892, 478, 470?

Answer: LCM of 505, 892, 478, 470 is 5060017180.

2. How to calculate the LCM of 505, 892, 478, 470?

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 505, 892, 478, 470.

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}.