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LCM of 807, 493, 660, 264, 765

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


Find the LCM of 807, 493, 660, 264, 765 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 807, 493, 660, 264, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,493,660,264,765

Given numbers are 807,493,660,264,765

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

The LCM of 807,493,660,264,765 is 525163320.

Find LCM of 807,493,660,264,765 with Prime Factorization


2 807, 493, 660, 264, 765
2 807, 493, 330, 132, 765
3 807, 493, 165, 66, 765
5 269, 493, 55, 22, 255
11 269, 493, 11, 22, 51
17 269, 493, 1, 2, 51
269, 29, 1, 2, 3

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

2 x 2 x 3 x 5 x 11 x 17 x 269 x 29 x 1 x 2 x 3 = 525163320

Therefore, the lowest common multiple of 807,493,660,264,765 is 525163320.

LCM Formula to Find Lowest Common Multiple of 807,493,660,264,765

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.

807 x 493 x 660 x 264 x 765 = 53030992053600

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.

807 : 1, 3, 269, 807

493 : 1, 17, 29, 493

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,493,660,264,765, is 1.

Now, the common factors can be found like this.

807:3x 269

493:17x 29

660:2x 2x 3x 5x 11

264:2x 2x 2x 3x 11

765:3x 3x 5x 17

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 3x 5x 11x 17 = 100980

Therefore, the value for common factors is 100980.

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 = 53030992053600/(1x100980)

LCM = 53030992053600/100980

LCM = 525163320

Thus, we can understand that the LCM of 807,493,660,264,765 is 525163320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 493, 660, 264, 765

1. What is the LCM of 807, 493, 660, 264, 765?

Answer: LCM of 807, 493, 660, 264, 765 is 525163320.

2. How to calculate the LCM of 807, 493, 660, 264, 765?

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 807, 493, 660, 264, 765.

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}.