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LCM of 578, 802, 750, 505

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


Find the LCM of 578, 802, 750, 505 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 578, 802, 750, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,802,750,505

Given numbers are 578,802,750,505

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

The LCM of 578,802,750,505 is 8778591750.

Find LCM of 578,802,750,505 with Prime Factorization


2 578, 802, 750, 505
5 289, 401, 375, 505
289, 401, 75, 101

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

2 x 5 x 289 x 401 x 75 x 101 = 8778591750

Therefore, the lowest common multiple of 578,802,750,505 is 8778591750.

LCM Formula to Find Lowest Common Multiple of 578,802,750,505

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.

578 x 802 x 750 x 505 = 175571835000

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.

578 : 1, 2, 17, 34, 289, 578

802 : 1, 2, 401, 802

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,802,750,505, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

802:2x 401

750:2x 3x 5x 5x 5

505:5x 101

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 = 175571835000/(1x20)

LCM = 175571835000/20

LCM = 8778591750

Thus, we can understand that the LCM of 578,802,750,505 is 8778591750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 802, 750, 505

1. What is the LCM of 578, 802, 750, 505?

Answer: LCM of 578, 802, 750, 505 is 8778591750.

2. How to calculate the LCM of 578, 802, 750, 505?

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 578, 802, 750, 505.

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}.