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LCM of 960, 229, 496, 501, 539

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


Find the LCM of 960, 229, 496, 501, 539 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 960, 229, 496, 501, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,229,496,501,539

Given numbers are 960,229,496,501,539

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

The LCM of 960,229,496,501,539 is 613442195520.

Find LCM of 960,229,496,501,539 with Prime Factorization


2 960, 229, 496, 501, 539
2 480, 229, 248, 501, 539
2 240, 229, 124, 501, 539
2 120, 229, 62, 501, 539
3 60, 229, 31, 501, 539
20, 229, 31, 167, 539

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

2 x 2 x 2 x 2 x 3 x 20 x 229 x 31 x 167 x 539 = 613442195520

Therefore, the lowest common multiple of 960,229,496,501,539 is 613442195520.

LCM Formula to Find Lowest Common Multiple of 960,229,496,501,539

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.

960 x 229 x 496 x 501 x 539 = 29445225384960

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

229 : 1, 229

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

501 : 1, 3, 167, 501

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,229,496,501,539, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

229:229

496:2x 2x 2x 2x 31

501:3x 167

539:7x 7x 11

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 29445225384960/(1x48)

LCM = 29445225384960/48

LCM = 613442195520

Thus, we can understand that the LCM of 960,229,496,501,539 is 613442195520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 229, 496, 501, 539

1. What is the LCM of 960, 229, 496, 501, 539?

Answer: LCM of 960, 229, 496, 501, 539 is 613442195520.

2. How to calculate the LCM of 960, 229, 496, 501, 539?

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 960, 229, 496, 501, 539.

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}.