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LCM of 765, 770, 542, 816

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


Find the LCM of 765, 770, 542, 816 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 765, 770, 542, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,770,542,816

Given numbers are 765,770,542,816

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

The LCM of 765,770,542,816 is 255412080.

Find LCM of 765,770,542,816 with Prime Factorization


2 765, 770, 542, 816
3 765, 385, 271, 408
5 255, 385, 271, 136
17 51, 77, 271, 136
3, 77, 271, 8

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

2 x 3 x 5 x 17 x 3 x 77 x 271 x 8 = 255412080

Therefore, the lowest common multiple of 765,770,542,816 is 255412080.

LCM Formula to Find Lowest Common Multiple of 765,770,542,816

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.

765 x 770 x 542 x 816 = 260520321600

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.

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

542 : 1, 2, 271, 542

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,770,542,816, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

770:2x 5x 7x 11

542:2x 271

816:2x 2x 2x 2x 3x 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 5x 17 = 1020

Therefore, the value for common factors is 1020.

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 = 260520321600/(1x1020)

LCM = 260520321600/1020

LCM = 255412080

Thus, we can understand that the LCM of 765,770,542,816 is 255412080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 770, 542, 816

1. What is the LCM of 765, 770, 542, 816?

Answer: LCM of 765, 770, 542, 816 is 255412080.

2. How to calculate the LCM of 765, 770, 542, 816?

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 765, 770, 542, 816.

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}.