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LCM of 9, 760, 537, 285

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


Find the LCM of 9, 760, 537, 285 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 9, 760, 537, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9,760,537,285

Given numbers are 9,760,537,285

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

The LCM of 9,760,537,285 is 1224360.

Find LCM of 9,760,537,285 with Prime Factorization


3 9, 760, 537, 285
5 3, 760, 179, 95
19 3, 152, 179, 19
3, 8, 179, 1

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

3 x 5 x 19 x 3 x 8 x 179 x 1 = 1224360

Therefore, the lowest common multiple of 9,760,537,285 is 1224360.

LCM Formula to Find Lowest Common Multiple of 9,760,537,285

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.

9 x 760 x 537 x 285 = 1046827800

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.

9 : 1, 3, 9

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

537 : 1, 3, 179, 537

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,760,537,285, is 1.

Now, the common factors can be found like this.

9:3x 3

760:2x 2x 2x 5x 19

537:3x 179

285:3x 5x 19

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

3x 3x 5x 19 = 855

Therefore, the value for common factors is 855.

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 = 1046827800/(1x855)

LCM = 1046827800/855

LCM = 1224360

Thus, we can understand that the LCM of 9,760,537,285 is 1224360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 9, 760, 537, 285

1. What is the LCM of 9, 760, 537, 285?

Answer: LCM of 9, 760, 537, 285 is 1224360.

2. How to calculate the LCM of 9, 760, 537, 285?

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 9, 760, 537, 285.

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}.