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LCM of 578, 810, 714, 313

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


Find the LCM of 578, 810, 714, 313 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, 810, 714, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,810,714,313

Given numbers are 578,810,714,313

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

The LCM of 578,810,714,313 is 512891190.

Find LCM of 578,810,714,313 with Prime Factorization


2 578, 810, 714, 313
3 289, 405, 357, 313
17 289, 135, 119, 313
17, 135, 7, 313

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

2 x 3 x 17 x 17 x 135 x 7 x 313 = 512891190

Therefore, the lowest common multiple of 578,810,714,313 is 512891190.

LCM Formula to Find Lowest Common Multiple of 578,810,714,313

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 810 x 714 x 313 = 104629802760

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,810,714,313, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

810:2x 3x 3x 3x 3x 5

714:2x 3x 7x 17

313:313

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 17 = 204

Therefore, the value for common factors is 204.

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 = 104629802760/(1x204)

LCM = 104629802760/204

LCM = 512891190

Thus, we can understand that the LCM of 578,810,714,313 is 512891190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 810, 714, 313

1. What is the LCM of 578, 810, 714, 313?

Answer: LCM of 578, 810, 714, 313 is 512891190.

2. How to calculate the LCM of 578, 810, 714, 313?

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, 810, 714, 313.

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}.