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LCM of 505, 965, 570, 475

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


Find the LCM of 505, 965, 570, 475 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, 965, 570, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,965,570,475

Given numbers are 505,965,570,475

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

The LCM of 505,965,570,475 is 55555050.

Find LCM of 505,965,570,475 with Prime Factorization


5 505, 965, 570, 475
19 101, 193, 114, 95
101, 193, 6, 5

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

5 x 19 x 101 x 193 x 6 x 5 = 55555050

Therefore, the lowest common multiple of 505,965,570,475 is 55555050.

LCM Formula to Find Lowest Common Multiple of 505,965,570,475

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 965 x 570 x 475 = 131943243750

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

965 : 1, 5, 193, 965

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

475 : 1, 5, 19, 25, 95, 475

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,965,570,475, is 5.

Now, the common factors can be found like this.

505:5x 101

965:5x 193

570:2x 3x 5x 19

475:5x 5x 19

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

5x 5x 19 = 475

Therefore, the value for common factors is 475.

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 = 131943243750/(5x475)

LCM = 131943243750/2375

LCM = 55555050

Thus, we can understand that the LCM of 505,965,570,475 is 55555050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 965, 570, 475

1. What is the LCM of 505, 965, 570, 475?

Answer: LCM of 505, 965, 570, 475 is 55555050.

2. How to calculate the LCM of 505, 965, 570, 475?

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, 965, 570, 475.

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}.