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LCM of 785, 539, 240, 766

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


Find the LCM of 785, 539, 240, 766 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 785, 539, 240, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 785,539,240,766

Given numbers are 785,539,240,766

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

The LCM of 785,539,240,766 is 7778546160.

Find LCM of 785,539,240,766 with Prime Factorization


2 785, 539, 240, 766
5 785, 539, 120, 383
157, 539, 24, 383

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

2 x 5 x 157 x 539 x 24 x 383 = 7778546160

Therefore, the lowest common multiple of 785,539,240,766 is 7778546160.

LCM Formula to Find Lowest Common Multiple of 785,539,240,766

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.

785 x 539 x 240 x 766 = 77785461600

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.

785 : 1, 5, 157, 785

539 : 1, 7, 11, 49, 77, 539

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,539,240,766, is 1.

Now, the common factors can be found like this.

785:5x 157

539:7x 7x 11

240:2x 2x 2x 2x 3x 5

766:2x 383

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 77785461600/(1x10)

LCM = 77785461600/10

LCM = 7778546160

Thus, we can understand that the LCM of 785,539,240,766 is 7778546160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 785, 539, 240, 766

1. What is the LCM of 785, 539, 240, 766?

Answer: LCM of 785, 539, 240, 766 is 7778546160.

2. How to calculate the LCM of 785, 539, 240, 766?

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 785, 539, 240, 766.

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}.